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Finding the Fourth Proportional to 122,753.60, 183,741.60 and 96,315.20

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Solution

The fourth proportional to 122,753.60, 183,741.60 and 96,315.20 is: 144,167.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,753.60 : 183,741.60 = 96,315.20 : x
  2. Step 2: Convert to fraction form
    122,753.60/183,741.60 = 96,315.20/x
  3. Step 3: Cross multiply
    122,753.60x = 183,741.60 × 96,315.20
  4. Step 4: Simplify right side
    122,753.60x = 17,697,108,952.32
  5. Step 5: Solve for x
    x = 17,697,108,952.32/122,753.60
  6. Step 6: Final answer
    x = 144,167.74

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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.