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Finding the Fourth Proportional to 140,607.69, 194,008.60 and 83,265.02

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Solution

The fourth proportional to 140,607.69, 194,008.60 and 83,265.02 is: 114,887.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,607.69 : 194,008.60 = 83,265.02 : x
  2. Step 2: Convert to fraction form
    140,607.69/194,008.60 = 83,265.02/x
  3. Step 3: Cross multiply
    140,607.69x = 194,008.60 × 83,265.02
  4. Step 4: Simplify right side
    140,607.69x = 16,154,129,959.17
  5. Step 5: Solve for x
    x = 16,154,129,959.17/140,607.69
  6. Step 6: Final answer
    x = 114,887.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.