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Finding the Fourth Proportional to 99,897.40, 149,846.10 and 40,702.60

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Solution

The fourth proportional to 99,897.40, 149,846.10 and 40,702.60 is: 61,053.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,897.40 : 149,846.10 = 40,702.60 : x
  2. Step 2: Convert to fraction form
    99,897.40/149,846.10 = 40,702.60/x
  3. Step 3: Cross multiply
    99,897.40x = 149,846.10 × 40,702.60
  4. Step 4: Simplify right side
    99,897.40x = 6,099,125,869.86
  5. Step 5: Solve for x
    x = 6,099,125,869.86/99,897.40
  6. Step 6: Final answer
    x = 61,053.90

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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.