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Finding the Fourth Proportional to 165,942, 229,017.24 and 102,278.16

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Solution

The fourth proportional to 165,942, 229,017.24 and 102,278.16 is: 141,154.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,942 : 229,017.24 = 102,278.16 : x
  2. Step 2: Convert to fraction form
    165,942/229,017.24 = 102,278.16/x
  3. Step 3: Cross multiply
    165,942x = 229,017.24 × 102,278.16
  4. Step 4: Simplify right side
    165,942x = 23,423,461,915.48
  5. Step 5: Solve for x
    x = 23,423,461,915.48/165,942
  6. Step 6: Final answer
    x = 141,154.51

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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.