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Finding the Fourth Proportional to 100,373.16, 138,514.95 and 55,661.16

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Solution

The fourth proportional to 100,373.16, 138,514.95 and 55,661.16 is: 76,812.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,373.16 : 138,514.95 = 55,661.16 : x
  2. Step 2: Convert to fraction form
    100,373.16/138,514.95 = 55,661.16/x
  3. Step 3: Cross multiply
    100,373.16x = 138,514.95 × 55,661.16
  4. Step 4: Simplify right side
    100,373.16x = 7,709,902,794.34
  5. Step 5: Solve for x
    x = 7,709,902,794.34/100,373.16
  6. Step 6: Final answer
    x = 76,812.39

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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.