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Finding the Fourth Proportional to 178,047.77, 266,877.33 and 65,633.24

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Solution

The fourth proportional to 178,047.77, 266,877.33 and 65,633.24 is: 98,378.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,047.77 : 266,877.33 = 65,633.24 : x
  2. Step 2: Convert to fraction form
    178,047.77/266,877.33 = 65,633.24/x
  3. Step 3: Cross multiply
    178,047.77x = 266,877.33 × 65,633.24
  4. Step 4: Simplify right side
    178,047.77x = 17,516,023,139.52
  5. Step 5: Solve for x
    x = 17,516,023,139.52/178,047.77
  6. Step 6: Final answer
    x = 98,378.22

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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.