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Finding the Fourth Proportional to 162,023.20, 242,929.20 and 145,434.40

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Solution

The fourth proportional to 162,023.20, 242,929.20 and 145,434.40 is: 218,056.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,023.20 : 242,929.20 = 145,434.40 : x
  2. Step 2: Convert to fraction form
    162,023.20/242,929.20 = 145,434.40/x
  3. Step 3: Cross multiply
    162,023.20x = 242,929.20 × 145,434.40
  4. Step 4: Simplify right side
    162,023.20x = 35,330,262,444.48
  5. Step 5: Solve for x
    x = 35,330,262,444.48/162,023.20
  6. Step 6: Final answer
    x = 218,056.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.