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Finding the Fourth Proportional to 151,501.52, 209,079.24 and 84,434

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Solution

The fourth proportional to 151,501.52, 209,079.24 and 84,434 is: 116,522.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,501.52 : 209,079.24 = 84,434 : x
  2. Step 2: Convert to fraction form
    151,501.52/209,079.24 = 84,434/x
  3. Step 3: Cross multiply
    151,501.52x = 209,079.24 × 84,434
  4. Step 4: Simplify right side
    151,501.52x = 17,653,396,550.16
  5. Step 5: Solve for x
    x = 17,653,396,550.16/151,501.52
  6. Step 6: Final answer
    x = 116,522.90

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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.