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Finding the Fourth Proportional to 151,565.50, 209,166.90 and 84,497.50

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Solution

The fourth proportional to 151,565.50, 209,166.90 and 84,497.50 is: 116,610.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,565.50 : 209,166.90 = 84,497.50 : x
  2. Step 2: Convert to fraction form
    151,565.50/209,166.90 = 84,497.50/x
  3. Step 3: Cross multiply
    151,565.50x = 209,166.90 × 84,497.50
  4. Step 4: Simplify right side
    151,565.50x = 17,674,080,132.75
  5. Step 5: Solve for x
    x = 17,674,080,132.75/151,565.50
  6. Step 6: Final answer
    x = 116,610.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.