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Finding the Fourth Proportional to 107,225.64, 147,990.51 and 61,897.41

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Solution

The fourth proportional to 107,225.64, 147,990.51 and 61,897.41 is: 85,429.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,225.64 : 147,990.51 = 61,897.41 : x
  2. Step 2: Convert to fraction form
    107,225.64/147,990.51 = 61,897.41/x
  3. Step 3: Cross multiply
    107,225.64x = 147,990.51 × 61,897.41
  4. Step 4: Simplify right side
    107,225.64x = 9,160,229,273.58
  5. Step 5: Solve for x
    x = 9,160,229,273.58/107,225.64
  6. Step 6: Final answer
    x = 85,429.47

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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.