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Finding the Fourth Proportional to 157,212.16, 216,952.24 and 85,592.16

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Solution

The fourth proportional to 157,212.16, 216,952.24 and 85,592.16 is: 118,116.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,212.16 : 216,952.24 = 85,592.16 : x
  2. Step 2: Convert to fraction form
    157,212.16/216,952.24 = 85,592.16/x
  3. Step 3: Cross multiply
    157,212.16x = 216,952.24 × 85,592.16
  4. Step 4: Simplify right side
    157,212.16x = 18,569,410,838.44
  5. Step 5: Solve for x
    x = 18,569,410,838.44/157,212.16
  6. Step 6: Final answer
    x = 118,116.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.