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Finding the Fourth Proportional to 120,095.88, 179,894.60 and 70,024.12

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Solution

The fourth proportional to 120,095.88, 179,894.60 and 70,024.12 is: 104,890.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,095.88 : 179,894.60 = 70,024.12 : x
  2. Step 2: Convert to fraction form
    120,095.88/179,894.60 = 70,024.12/x
  3. Step 3: Cross multiply
    120,095.88x = 179,894.60 × 70,024.12
  4. Step 4: Simplify right side
    120,095.88x = 12,596,961,057.75
  5. Step 5: Solve for x
    x = 12,596,961,057.75/120,095.88
  6. Step 6: Final answer
    x = 104,890.87

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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.