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Finding the Fourth Proportional to 185,013.09, 255,318.30 and 100,130.13

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Solution

The fourth proportional to 185,013.09, 255,318.30 and 100,130.13 is: 138,179.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,013.09 : 255,318.30 = 100,130.13 : x
  2. Step 2: Convert to fraction form
    185,013.09/255,318.30 = 100,130.13/x
  3. Step 3: Cross multiply
    185,013.09x = 255,318.30 × 100,130.13
  4. Step 4: Simplify right side
    185,013.09x = 25,565,054,570.38
  5. Step 5: Solve for x
    x = 25,565,054,570.38/185,013.09
  6. Step 6: Final answer
    x = 138,179.71

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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.