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Finding the Fourth Proportional to 136,926.80, 205,390.20 and 38,430.80

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Solution

The fourth proportional to 136,926.80, 205,390.20 and 38,430.80 is: 57,646.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,926.80 : 205,390.20 = 38,430.80 : x
  2. Step 2: Convert to fraction form
    136,926.80/205,390.20 = 38,430.80/x
  3. Step 3: Cross multiply
    136,926.80x = 205,390.20 × 38,430.80
  4. Step 4: Simplify right side
    136,926.80x = 7,893,309,698.16
  5. Step 5: Solve for x
    x = 7,893,309,698.16/136,926.80
  6. Step 6: Final answer
    x = 57,646.20

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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.