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Finding the Fourth Proportional to 120,307.92, 166,001.40 and 75,570

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Solution

The fourth proportional to 120,307.92, 166,001.40 and 75,570 is: 104,271.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,307.92 : 166,001.40 = 75,570 : x
  2. Step 2: Convert to fraction form
    120,307.92/166,001.40 = 75,570/x
  3. Step 3: Cross multiply
    120,307.92x = 166,001.40 × 75,570
  4. Step 4: Simplify right side
    120,307.92x = 12,544,725,798
  5. Step 5: Solve for x
    x = 12,544,725,798/120,307.92
  6. Step 6: Final answer
    x = 104,271.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.