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Finding the Fourth Proportional to 100,498.90, 150,782.76 and 63,013.72

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Solution

The fourth proportional to 100,498.90, 150,782.76 and 63,013.72 is: 94,542.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,498.90 : 150,782.76 = 63,013.72 : x
  2. Step 2: Convert to fraction form
    100,498.90/150,782.76 = 63,013.72/x
  3. Step 3: Cross multiply
    100,498.90x = 150,782.76 × 63,013.72
  4. Step 4: Simplify right side
    100,498.90x = 9,501,382,619.47
  5. Step 5: Solve for x
    x = 9,501,382,619.47/100,498.90
  6. Step 6: Final answer
    x = 94,542.16

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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.