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Finding the Fourth Proportional to 152,854.36, 229,270.68 and 40,532.08

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Solution

The fourth proportional to 152,854.36, 229,270.68 and 40,532.08 is: 60,795.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,854.36 : 229,270.68 = 40,532.08 : x
  2. Step 2: Convert to fraction form
    152,854.36/229,270.68 = 40,532.08/x
  3. Step 3: Cross multiply
    152,854.36x = 229,270.68 × 40,532.08
  4. Step 4: Simplify right side
    152,854.36x = 9,292,817,543.41
  5. Step 5: Solve for x
    x = 9,292,817,543.41/152,854.36
  6. Step 6: Final answer
    x = 60,795.24

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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.