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Finding the Fourth Proportional to 185,684.48, 278,526.72 and 101,398.66

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Solution

The fourth proportional to 185,684.48, 278,526.72 and 101,398.66 is: 152,097.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,684.48 : 278,526.72 = 101,398.66 : x
  2. Step 2: Convert to fraction form
    185,684.48/278,526.72 = 101,398.66/x
  3. Step 3: Cross multiply
    185,684.48x = 278,526.72 × 101,398.66
  4. Step 4: Simplify right side
    185,684.48x = 28,242,236,862.47
  5. Step 5: Solve for x
    x = 28,242,236,862.47/185,684.48
  6. Step 6: Final answer
    x = 152,097.99

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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.