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Finding the Fourth Proportional to 106,304.32, 159,347.04 and 47,167.84

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Solution

The fourth proportional to 106,304.32, 159,347.04 and 47,167.84 is: 70,703.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,304.32 : 159,347.04 = 47,167.84 : x
  2. Step 2: Convert to fraction form
    106,304.32/159,347.04 = 47,167.84/x
  3. Step 3: Cross multiply
    106,304.32x = 159,347.04 × 47,167.84
  4. Step 4: Simplify right side
    106,304.32x = 7,516,055,687.19
  5. Step 5: Solve for x
    x = 7,516,055,687.19/106,304.32
  6. Step 6: Final answer
    x = 70,703.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.