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Finding the Fourth Proportional to 136,946.90, 205,404.14 and 37,100.90

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Solution

The fourth proportional to 136,946.90, 205,404.14 and 37,100.90 is: 55,646.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,946.90 : 205,404.14 = 37,100.90 : x
  2. Step 2: Convert to fraction form
    136,946.90/205,404.14 = 37,100.90/x
  3. Step 3: Cross multiply
    136,946.90x = 205,404.14 × 37,100.90
  4. Step 4: Simplify right side
    136,946.90x = 7,620,678,457.73
  5. Step 5: Solve for x
    x = 7,620,678,457.73/136,946.90
  6. Step 6: Final answer
    x = 55,646.96

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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.