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Finding the Fourth Proportional to 125,164, 172,726.32 and 68,576.68

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Solution

The fourth proportional to 125,164, 172,726.32 and 68,576.68 is: 94,635.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,164 : 172,726.32 = 68,576.68 : x
  2. Step 2: Convert to fraction form
    125,164/172,726.32 = 68,576.68/x
  3. Step 3: Cross multiply
    125,164x = 172,726.32 × 68,576.68
  4. Step 4: Simplify right side
    125,164x = 11,844,997,574.22
  5. Step 5: Solve for x
    x = 11,844,997,574.22/125,164
  6. Step 6: Final answer
    x = 94,635.82

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