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Finding the Fourth Proportional to 142,319.30, 213,513.99 and 100,281.49

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Solution

The fourth proportional to 142,319.30, 213,513.99 and 100,281.49 is: 150,446.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,319.30 : 213,513.99 = 100,281.49 : x
  2. Step 2: Convert to fraction form
    142,319.30/213,513.99 = 100,281.49/x
  3. Step 3: Cross multiply
    142,319.30x = 213,513.99 × 100,281.49
  4. Step 4: Simplify right side
    142,319.30x = 21,411,501,053.05
  5. Step 5: Solve for x
    x = 21,411,501,053.05/142,319.30
  6. Step 6: Final answer
    x = 150,446.92

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