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Finding the Fourth Proportional to 100,564.88, 138,775.04 and 60,300.86

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Solution

The fourth proportional to 100,564.88, 138,775.04 and 60,300.86 is: 83,212.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,564.88 : 138,775.04 = 60,300.86 : x
  2. Step 2: Convert to fraction form
    100,564.88/138,775.04 = 60,300.86/x
  3. Step 3: Cross multiply
    100,564.88x = 138,775.04 × 60,300.86
  4. Step 4: Simplify right side
    100,564.88x = 8,368,254,258.53
  5. Step 5: Solve for x
    x = 8,368,254,258.53/100,564.88
  6. Step 6: Final answer
    x = 83,212.49

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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.