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Finding the Fourth Proportional to 136,737.91, 205,130.95 and 46,759.47

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Solution

The fourth proportional to 136,737.91, 205,130.95 and 46,759.47 is: 70,147.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,737.91 : 205,130.95 = 46,759.47 : x
  2. Step 2: Convert to fraction form
    136,737.91/205,130.95 = 46,759.47/x
  3. Step 3: Cross multiply
    136,737.91x = 205,130.95 × 46,759.47
  4. Step 4: Simplify right side
    136,737.91x = 9,591,814,502.60
  5. Step 5: Solve for x
    x = 9,591,814,502.60/136,737.91
  6. Step 6: Final answer
    x = 70,147.44

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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.