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Finding the Fourth Proportional to 154,473.30, 231,731.55 and 65,726.10

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Solution

The fourth proportional to 154,473.30, 231,731.55 and 65,726.10 is: 98,598.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,473.30 : 231,731.55 = 65,726.10 : x
  2. Step 2: Convert to fraction form
    154,473.30/231,731.55 = 65,726.10/x
  3. Step 3: Cross multiply
    154,473.30x = 231,731.55 × 65,726.10
  4. Step 4: Simplify right side
    154,473.30x = 15,230,811,028.46
  5. Step 5: Solve for x
    x = 15,230,811,028.46/154,473.30
  6. Step 6: Final answer
    x = 98,598.34

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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.