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Finding the Fourth Proportional to 100,225.40, 138,244.46 and 64,460.68

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Solution

The fourth proportional to 100,225.40, 138,244.46 and 64,460.68 is: 88,912.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,225.40 : 138,244.46 = 64,460.68 : x
  2. Step 2: Convert to fraction form
    100,225.40/138,244.46 = 64,460.68/x
  3. Step 3: Cross multiply
    100,225.40x = 138,244.46 × 64,460.68
  4. Step 4: Simplify right side
    100,225.40x = 8,911,331,897.83
  5. Step 5: Solve for x
    x = 8,911,331,897.83/100,225.40
  6. Step 6: Final answer
    x = 88,912.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.