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Finding the Fourth Proportional to 162,515.20, 243,675.60 and 83,783.20

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Solution

The fourth proportional to 162,515.20, 243,675.60 and 83,783.20 is: 125,624.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,515.20 : 243,675.60 = 83,783.20 : x
  2. Step 2: Convert to fraction form
    162,515.20/243,675.60 = 83,783.20/x
  3. Step 3: Cross multiply
    162,515.20x = 243,675.60 × 83,783.20
  4. Step 4: Simplify right side
    162,515.20x = 20,415,921,529.92
  5. Step 5: Solve for x
    x = 20,415,921,529.92/162,515.20
  6. Step 6: Final answer
    x = 125,624.69

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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.