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Finding the Fourth Proportional to 375,498.47, 563,237.98 and 126,180.47

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Solution

The fourth proportional to 375,498.47, 563,237.98 and 126,180.47 is: 189,267.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,498.47 : 563,237.98 = 126,180.47 : x
  2. Step 2: Convert to fraction form
    375,498.47/563,237.98 = 126,180.47/x
  3. Step 3: Cross multiply
    375,498.47x = 563,237.98 × 126,180.47
  4. Step 4: Simplify right side
    375,498.47x = 71,069,633,038.25
  5. Step 5: Solve for x
    x = 71,069,633,038.25/375,498.47
  6. Step 6: Final answer
    x = 189,267.44

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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.