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Finding the Fourth Proportional to 149,897.76, 224,841.24 and 37,578.90

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Solution

The fourth proportional to 149,897.76, 224,841.24 and 37,578.90 is: 56,367.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,897.76 : 224,841.24 = 37,578.90 : x
  2. Step 2: Convert to fraction form
    149,897.76/224,841.24 = 37,578.90/x
  3. Step 3: Cross multiply
    149,897.76x = 224,841.24 × 37,578.90
  4. Step 4: Simplify right side
    149,897.76x = 8,449,286,473.84
  5. Step 5: Solve for x
    x = 8,449,286,473.84/149,897.76
  6. Step 6: Final answer
    x = 56,367.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.