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Finding the Fourth Proportional to 150,596.76, 207,823.66 and 83,528.76

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Solution

The fourth proportional to 150,596.76, 207,823.66 and 83,528.76 is: 115,269.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,596.76 : 207,823.66 = 83,528.76 : x
  2. Step 2: Convert to fraction form
    150,596.76/207,823.66 = 83,528.76/x
  3. Step 3: Cross multiply
    150,596.76x = 207,823.66 × 83,528.76
  4. Step 4: Simplify right side
    150,596.76x = 17,359,252,618.46
  5. Step 5: Solve for x
    x = 17,359,252,618.46/150,596.76
  6. Step 6: Final answer
    x = 115,269.76

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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.