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Finding the Fourth Proportional to 122,094.40, 183,256.80 and 75,438.40

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Solution

The fourth proportional to 122,094.40, 183,256.80 and 75,438.40 is: 113,228.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,094.40 : 183,256.80 = 75,438.40 : x
  2. Step 2: Convert to fraction form
    122,094.40/183,256.80 = 75,438.40/x
  3. Step 3: Cross multiply
    122,094.40x = 183,256.80 × 75,438.40
  4. Step 4: Simplify right side
    122,094.40x = 13,824,599,781.12
  5. Step 5: Solve for x
    x = 13,824,599,781.12/122,094.40
  6. Step 6: Final answer
    x = 113,228.78

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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.