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Finding the Fourth Proportional to 233,624.34, 322,404.98 and 138,139.92

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Solution

The fourth proportional to 233,624.34, 322,404.98 and 138,139.92 is: 190,635.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,624.34 : 322,404.98 = 138,139.92 : x
  2. Step 2: Convert to fraction form
    233,624.34/322,404.98 = 138,139.92/x
  3. Step 3: Cross multiply
    233,624.34x = 322,404.98 × 138,139.92
  4. Step 4: Simplify right side
    233,624.34x = 44,536,997,454.10
  5. Step 5: Solve for x
    x = 44,536,997,454.10/233,624.34
  6. Step 6: Final answer
    x = 190,635.09

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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.