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Finding the Fourth Proportional to 127,596, 176,082.48 and 71,007.42

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Solution

The fourth proportional to 127,596, 176,082.48 and 71,007.42 is: 97,990.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,596 : 176,082.48 = 71,007.42 : x
  2. Step 2: Convert to fraction form
    127,596/176,082.48 = 71,007.42/x
  3. Step 3: Cross multiply
    127,596x = 176,082.48 × 71,007.42
  4. Step 4: Simplify right side
    127,596x = 12,503,162,612.00
  5. Step 5: Solve for x
    x = 12,503,162,612.00/127,596
  6. Step 6: Final answer
    x = 97,990.24

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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.