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Finding the Fourth Proportional to 102,177.64, 153,266.52 and 28,305.64

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Solution

The fourth proportional to 102,177.64, 153,266.52 and 28,305.64 is: 42,458.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,177.64 : 153,266.52 = 28,305.64 : x
  2. Step 2: Convert to fraction form
    102,177.64/153,266.52 = 28,305.64/x
  3. Step 3: Cross multiply
    102,177.64x = 153,266.52 × 28,305.64
  4. Step 4: Simplify right side
    102,177.64x = 4,338,306,939.17
  5. Step 5: Solve for x
    x = 4,338,306,939.17/102,177.64
  6. Step 6: Final answer
    x = 42,458.48

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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.