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Finding the Fourth Proportional to 106,595.54, 147,086.10 and 61,275.44

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Solution

The fourth proportional to 106,595.54, 147,086.10 and 61,275.44 is: 84,551.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,595.54 : 147,086.10 = 61,275.44 : x
  2. Step 2: Convert to fraction form
    106,595.54/147,086.10 = 61,275.44/x
  3. Step 3: Cross multiply
    106,595.54x = 147,086.10 × 61,275.44
  4. Step 4: Simplify right side
    106,595.54x = 9,012,765,495.38
  5. Step 5: Solve for x
    x = 9,012,765,495.38/106,595.54
  6. Step 6: Final answer
    x = 84,551.06

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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.