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Finding the Fourth Proportional to 178,140.40, 266,983.80 and 72,840.40

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Solution

The fourth proportional to 178,140.40, 266,983.80 and 72,840.40 is: 109,167.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,140.40 : 266,983.80 = 72,840.40 : x
  2. Step 2: Convert to fraction form
    178,140.40/266,983.80 = 72,840.40/x
  3. Step 3: Cross multiply
    178,140.40x = 266,983.80 × 72,840.40
  4. Step 4: Simplify right side
    178,140.40x = 19,447,206,785.52
  5. Step 5: Solve for x
    x = 19,447,206,785.52/178,140.40
  6. Step 6: Final answer
    x = 109,167.86

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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.