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Finding the Fourth Proportional to 122,263.76, 183,411.96 and 48,374.48

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Solution

The fourth proportional to 122,263.76, 183,411.96 and 48,374.48 is: 72,568.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,263.76 : 183,411.96 = 48,374.48 : x
  2. Step 2: Convert to fraction form
    122,263.76/183,411.96 = 48,374.48/x
  3. Step 3: Cross multiply
    122,263.76x = 183,411.96 × 48,374.48
  4. Step 4: Simplify right side
    122,263.76x = 8,872,458,190.78
  5. Step 5: Solve for x
    x = 8,872,458,190.78/122,263.76
  6. Step 6: Final answer
    x = 72,568.18

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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.