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Finding the Fourth Proportional to 182,402.14, 273,630.63 and 64,052.65

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Solution

The fourth proportional to 182,402.14, 273,630.63 and 64,052.65 is: 96,088.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,402.14 : 273,630.63 = 64,052.65 : x
  2. Step 2: Convert to fraction form
    182,402.14/273,630.63 = 64,052.65/x
  3. Step 3: Cross multiply
    182,402.14x = 273,630.63 × 64,052.65
  4. Step 4: Simplify right side
    182,402.14x = 17,526,766,972.67
  5. Step 5: Solve for x
    x = 17,526,766,972.67/182,402.14
  6. Step 6: Final answer
    x = 96,088.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.