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Finding the Fourth Proportional to 116,100.70, 160,070.64 and 75,192.55

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Solution

The fourth proportional to 116,100.70, 160,070.64 and 75,192.55 is: 103,669.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,100.70 : 160,070.64 = 75,192.55 : x
  2. Step 2: Convert to fraction form
    116,100.70/160,070.64 = 75,192.55/x
  3. Step 3: Cross multiply
    116,100.70x = 160,070.64 × 75,192.55
  4. Step 4: Simplify right side
    116,100.70x = 12,036,119,601.73
  5. Step 5: Solve for x
    x = 12,036,119,601.73/116,100.70
  6. Step 6: Final answer
    x = 103,669.66

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1.5x scale

Why These Related Problems?

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