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Finding the Fourth Proportional to 267,419.61, 400,707.49 and 98,707.77

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Solution

The fourth proportional to 267,419.61, 400,707.49 and 98,707.77 is: 147,905.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,419.61 : 400,707.49 = 98,707.77 : x
  2. Step 2: Convert to fraction form
    267,419.61/400,707.49 = 98,707.77/x
  3. Step 3: Cross multiply
    267,419.61x = 400,707.49 × 98,707.77
  4. Step 4: Simplify right side
    267,419.61x = 39,552,942,760.20
  5. Step 5: Solve for x
    x = 39,552,942,760.20/267,419.61
  6. Step 6: Final answer
    x = 147,905.92

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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.