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Finding the Fourth Proportional to 185,299.93, 255,713.88 and 100,417.02

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Solution

The fourth proportional to 185,299.93, 255,713.88 and 100,417.02 is: 138,575.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,299.93 : 255,713.88 = 100,417.02 : x
  2. Step 2: Convert to fraction form
    185,299.93/255,713.88 = 100,417.02/x
  3. Step 3: Cross multiply
    185,299.93x = 255,713.88 × 100,417.02
  4. Step 4: Simplify right side
    185,299.93x = 25,678,025,802.24
  5. Step 5: Solve for x
    x = 25,678,025,802.24/185,299.93
  6. Step 6: Final answer
    x = 138,575.47

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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.