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Finding the Fourth Proportional to 136,513.81, 204,730.62 and 47,750.77

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Solution

The fourth proportional to 136,513.81, 204,730.62 and 47,750.77 is: 71,612.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,513.81 : 204,730.62 = 47,750.77 : x
  2. Step 2: Convert to fraction form
    136,513.81/204,730.62 = 47,750.77/x
  3. Step 3: Cross multiply
    136,513.81x = 204,730.62 × 47,750.77
  4. Step 4: Simplify right side
    136,513.81x = 9,776,044,747.58
  5. Step 5: Solve for x
    x = 9,776,044,747.58/136,513.81
  6. Step 6: Final answer
    x = 71,612.13

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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.