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Finding the Fourth Proportional to 106,842.17, 147,432.28 and 59,094.49

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Solution

The fourth proportional to 106,842.17, 147,432.28 and 59,094.49 is: 81,544.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,842.17 : 147,432.28 = 59,094.49 : x
  2. Step 2: Convert to fraction form
    106,842.17/147,432.28 = 59,094.49/x
  3. Step 3: Cross multiply
    106,842.17x = 147,432.28 × 59,094.49
  4. Step 4: Simplify right side
    106,842.17x = 8,712,434,879.82
  5. Step 5: Solve for x
    x = 8,712,434,879.82/106,842.17
  6. Step 6: Final answer
    x = 81,544.91

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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.