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Finding the Fourth Proportional to 157,212.86, 216,954.63 and 85,592.70

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Solution

The fourth proportional to 157,212.86, 216,954.63 and 85,592.70 is: 118,118.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,212.86 : 216,954.63 = 85,592.70 : x
  2. Step 2: Convert to fraction form
    157,212.86/216,954.63 = 85,592.70/x
  3. Step 3: Cross multiply
    157,212.86x = 216,954.63 × 85,592.70
  4. Step 4: Simplify right side
    157,212.86x = 18,569,732,559.20
  5. Step 5: Solve for x
    x = 18,569,732,559.20/157,212.86
  6. Step 6: Final answer
    x = 118,118.41

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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.