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Finding the Fourth Proportional to 209,701.47, 314,475.65 and 76,542.33

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Solution

The fourth proportional to 209,701.47, 314,475.65 and 76,542.33 is: 114,785.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,701.47 : 314,475.65 = 76,542.33 : x
  2. Step 2: Convert to fraction form
    209,701.47/314,475.65 = 76,542.33/x
  3. Step 3: Cross multiply
    209,701.47x = 314,475.65 × 76,542.33
  4. Step 4: Simplify right side
    209,701.47x = 24,070,700,062.87
  5. Step 5: Solve for x
    x = 24,070,700,062.87/209,701.47
  6. Step 6: Final answer
    x = 114,785.56

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