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Finding the Fourth Proportional to 162,152.40, 242,645.40 and 109,664.40

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Solution

The fourth proportional to 162,152.40, 242,645.40 and 109,664.40 is: 164,102.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,152.40 : 242,645.40 = 109,664.40 : x
  2. Step 2: Convert to fraction form
    162,152.40/242,645.40 = 109,664.40/x
  3. Step 3: Cross multiply
    162,152.40x = 242,645.40 × 109,664.40
  4. Step 4: Simplify right side
    162,152.40x = 26,609,562,203.76
  5. Step 5: Solve for x
    x = 26,609,562,203.76/162,152.40
  6. Step 6: Final answer
    x = 164,102.18

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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.