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Finding the Fourth Proportional to 106,604.62, 147,114.34 and 61,291.47

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Solution

The fourth proportional to 106,604.62, 147,114.34 and 61,291.47 is: 84,582.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,604.62 : 147,114.34 = 61,291.47 : x
  2. Step 2: Convert to fraction form
    106,604.62/147,114.34 = 61,291.47/x
  3. Step 3: Cross multiply
    106,604.62x = 147,114.34 × 61,291.47
  4. Step 4: Simplify right side
    106,604.62x = 9,016,854,072.38
  5. Step 5: Solve for x
    x = 9,016,854,072.38/106,604.62
  6. Step 6: Final answer
    x = 84,582.20

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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.