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Finding the Fourth Proportional to 136,113.48, 203,962.32 and 57,184.56

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Solution

The fourth proportional to 136,113.48, 203,962.32 and 57,184.56 is: 85,689.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,113.48 : 203,962.32 = 57,184.56 : x
  2. Step 2: Convert to fraction form
    136,113.48/203,962.32 = 57,184.56/x
  3. Step 3: Cross multiply
    136,113.48x = 203,962.32 × 57,184.56
  4. Step 4: Simplify right side
    136,113.48x = 11,663,495,525.78
  5. Step 5: Solve for x
    x = 11,663,495,525.78/136,113.48
  6. Step 6: Final answer
    x = 85,689.50

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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.