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Finding the Fourth Proportional to 157,097.48, 216,795.46 and 85,478.04

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Solution

The fourth proportional to 157,097.48, 216,795.46 and 85,478.04 is: 117,960.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,097.48 : 216,795.46 = 85,478.04 : x
  2. Step 2: Convert to fraction form
    157,097.48/216,795.46 = 85,478.04/x
  3. Step 3: Cross multiply
    157,097.48x = 216,795.46 × 85,478.04
  4. Step 4: Simplify right side
    157,097.48x = 18,531,251,001.70
  5. Step 5: Solve for x
    x = 18,531,251,001.70/157,097.48
  6. Step 6: Final answer
    x = 117,960.21

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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.