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Finding the Fourth Proportional to 152,425.27, 210,340.90 and 83,513.50

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Solution

The fourth proportional to 152,425.27, 210,340.90 and 83,513.50 is: 115,245.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,425.27 : 210,340.90 = 83,513.50 : x
  2. Step 2: Convert to fraction form
    152,425.27/210,340.90 = 83,513.50/x
  3. Step 3: Cross multiply
    152,425.27x = 210,340.90 × 83,513.50
  4. Step 4: Simplify right side
    152,425.27x = 17,566,304,752.15
  5. Step 5: Solve for x
    x = 17,566,304,752.15/152,425.27
  6. Step 6: Final answer
    x = 115,245.36

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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.