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Finding the Fourth Proportional to 122,385.66, 183,580.11 and 47,510.07

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Solution

The fourth proportional to 122,385.66, 183,580.11 and 47,510.07 is: 71,265.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,385.66 : 183,580.11 = 47,510.07 : x
  2. Step 2: Convert to fraction form
    122,385.66/183,580.11 = 47,510.07/x
  3. Step 3: Cross multiply
    122,385.66x = 183,580.11 × 47,510.07
  4. Step 4: Simplify right side
    122,385.66x = 8,721,903,876.71
  5. Step 5: Solve for x
    x = 8,721,903,876.71/122,385.66
  6. Step 6: Final answer
    x = 71,265.73

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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.