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Finding the Fourth Proportional to 157,210.20, 216,953.97 and 85,594.14

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Solution

The fourth proportional to 157,210.20, 216,953.97 and 85,594.14 is: 118,122.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,210.20 : 216,953.97 = 85,594.14 : x
  2. Step 2: Convert to fraction form
    157,210.20/216,953.97 = 85,594.14/x
  3. Step 3: Cross multiply
    157,210.20x = 216,953.97 × 85,594.14
  4. Step 4: Simplify right side
    157,210.20x = 18,569,988,481.74
  5. Step 5: Solve for x
    x = 18,569,988,481.74/157,210.20
  6. Step 6: Final answer
    x = 118,122.03

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