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Finding the Fourth Proportional to 233,092.60, 349,898.10 and 144,446.20

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Solution

The fourth proportional to 233,092.60, 349,898.10 and 144,446.20 is: 216,829.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,092.60 : 349,898.10 = 144,446.20 : x
  2. Step 2: Convert to fraction form
    233,092.60/349,898.10 = 144,446.20/x
  3. Step 3: Cross multiply
    233,092.60x = 349,898.10 × 144,446.20
  4. Step 4: Simplify right side
    233,092.60x = 50,541,450,932.22
  5. Step 5: Solve for x
    x = 50,541,450,932.22/233,092.60
  6. Step 6: Final answer
    x = 216,829.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.