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Finding the Fourth Proportional to 177,454, 266,049.78 and 107,317.72

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Solution

The fourth proportional to 177,454, 266,049.78 and 107,317.72 is: 160,897.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,454 : 266,049.78 = 107,317.72 : x
  2. Step 2: Convert to fraction form
    177,454/266,049.78 = 107,317.72/x
  3. Step 3: Cross multiply
    177,454x = 266,049.78 × 107,317.72
  4. Step 4: Simplify right side
    177,454x = 28,551,855,796.10
  5. Step 5: Solve for x
    x = 28,551,855,796.10/177,454
  6. Step 6: Final answer
    x = 160,897.22

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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.