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Finding the Fourth Proportional to 154,603.92, 231,931.92 and 47,963.28

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Solution

The fourth proportional to 154,603.92, 231,931.92 and 47,963.28 is: 71,953.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,603.92 : 231,931.92 = 47,963.28 : x
  2. Step 2: Convert to fraction form
    154,603.92/231,931.92 = 47,963.28/x
  3. Step 3: Cross multiply
    154,603.92x = 231,931.92 × 47,963.28
  4. Step 4: Simplify right side
    154,603.92x = 11,124,215,619.90
  5. Step 5: Solve for x
    x = 11,124,215,619.90/154,603.92
  6. Step 6: Final answer
    x = 71,953.00

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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.