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Finding the Fourth Proportional to 172,762.74, 238,420.68 and 101,165.82

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Solution

The fourth proportional to 172,762.74, 238,420.68 and 101,165.82 is: 139,613.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,762.74 : 238,420.68 = 101,165.82 : x
  2. Step 2: Convert to fraction form
    172,762.74/238,420.68 = 101,165.82/x
  3. Step 3: Cross multiply
    172,762.74x = 238,420.68 × 101,165.82
  4. Step 4: Simplify right side
    172,762.74x = 24,120,023,597.16
  5. Step 5: Solve for x
    x = 24,120,023,597.16/172,762.74
  6. Step 6: Final answer
    x = 139,613.57

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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.