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Finding the Fourth Proportional to 136,675.36, 205,014.36 and 47,931.04

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Solution

The fourth proportional to 136,675.36, 205,014.36 and 47,931.04 is: 71,897.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,675.36 : 205,014.36 = 47,931.04 : x
  2. Step 2: Convert to fraction form
    136,675.36/205,014.36 = 47,931.04/x
  3. Step 3: Cross multiply
    136,675.36x = 205,014.36 × 47,931.04
  4. Step 4: Simplify right side
    136,675.36x = 9,826,551,489.73
  5. Step 5: Solve for x
    x = 9,826,551,489.73/136,675.36
  6. Step 6: Final answer
    x = 71,897.02

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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.