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Finding the Fourth Proportional to 123,358.64, 185,094.26 and 67,114.40

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Solution

The fourth proportional to 123,358.64, 185,094.26 and 67,114.40 is: 100,702.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,358.64 : 185,094.26 = 67,114.40 : x
  2. Step 2: Convert to fraction form
    123,358.64/185,094.26 = 67,114.40/x
  3. Step 3: Cross multiply
    123,358.64x = 185,094.26 × 67,114.40
  4. Step 4: Simplify right side
    123,358.64x = 12,422,489,867.77
  5. Step 5: Solve for x
    x = 12,422,489,867.77/123,358.64
  6. Step 6: Final answer
    x = 100,702.23

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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.