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Finding the Fourth Proportional to 100,602.78, 138,835.59 and 60,323.10

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Solution

The fourth proportional to 100,602.78, 138,835.59 and 60,323.10 is: 83,248.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,602.78 : 138,835.59 = 60,323.10 : x
  2. Step 2: Convert to fraction form
    100,602.78/138,835.59 = 60,323.10/x
  3. Step 3: Cross multiply
    100,602.78x = 138,835.59 × 60,323.10
  4. Step 4: Simplify right side
    100,602.78x = 8,374,993,179.13
  5. Step 5: Solve for x
    x = 8,374,993,179.13/100,602.78
  6. Step 6: Final answer
    x = 83,248.13

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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.