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Finding the Fourth Proportional to 106,844.16, 147,432 and 59,091

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Solution

The fourth proportional to 106,844.16, 147,432 and 59,091 is: 81,538.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,844.16 : 147,432 = 59,091 : x
  2. Step 2: Convert to fraction form
    106,844.16/147,432 = 59,091/x
  3. Step 3: Cross multiply
    106,844.16x = 147,432 × 59,091
  4. Step 4: Simplify right side
    106,844.16x = 8,711,904,312
  5. Step 5: Solve for x
    x = 8,711,904,312/106,844.16
  6. Step 6: Final answer
    x = 81,538.42

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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.