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Finding the Fourth Proportional to 186,981, 280,315.36 and 87,089.77

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Solution

The fourth proportional to 186,981, 280,315.36 and 87,089.77 is: 130,561.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,981 : 280,315.36 = 87,089.77 : x
  2. Step 2: Convert to fraction form
    186,981/280,315.36 = 87,089.77/x
  3. Step 3: Cross multiply
    186,981x = 280,315.36 × 87,089.77
  4. Step 4: Simplify right side
    186,981x = 24,412,600,229.87
  5. Step 5: Solve for x
    x = 24,412,600,229.87/186,981
  6. Step 6: Final answer
    x = 130,561.93

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1.5x scale

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.