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Finding the Fourth Proportional to 173,002.65, 238,767.24 and 101,411.20

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Solution

The fourth proportional to 173,002.65, 238,767.24 and 101,411.20 is: 139,961.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,002.65 : 238,767.24 = 101,411.20 : x
  2. Step 2: Convert to fraction form
    173,002.65/238,767.24 = 101,411.20/x
  3. Step 3: Cross multiply
    173,002.65x = 238,767.24 × 101,411.20
  4. Step 4: Simplify right side
    173,002.65x = 24,213,672,329.09
  5. Step 5: Solve for x
    x = 24,213,672,329.09/173,002.65
  6. Step 6: Final answer
    x = 139,961.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.