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Finding the Fourth Proportional to 375,572.54, 562,965.14 and 138,764.18

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Solution

The fourth proportional to 375,572.54, 562,965.14 and 138,764.18 is: 208,000.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,572.54 : 562,965.14 = 138,764.18 : x
  2. Step 2: Convert to fraction form
    375,572.54/562,965.14 = 138,764.18/x
  3. Step 3: Cross multiply
    375,572.54x = 562,965.14 × 138,764.18
  4. Step 4: Simplify right side
    375,572.54x = 78,119,392,512.04
  5. Step 5: Solve for x
    x = 78,119,392,512.04/375,572.54
  6. Step 6: Final answer
    x = 208,000.81

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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.