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Finding the Fourth Proportional to 152,332.65, 210,219.17 and 83,421.77

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Solution

The fourth proportional to 152,332.65, 210,219.17 and 83,421.77 is: 115,122.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,332.65 : 210,219.17 = 83,421.77 : x
  2. Step 2: Convert to fraction form
    152,332.65/210,219.17 = 83,421.77/x
  3. Step 3: Cross multiply
    152,332.65x = 210,219.17 × 83,421.77
  4. Step 4: Simplify right side
    152,332.65x = 17,536,853,781.13
  5. Step 5: Solve for x
    x = 17,536,853,781.13/152,332.65
  6. Step 6: Final answer
    x = 115,122.09

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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.