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Finding the Fourth Proportional to 145,510.53, 200,806.19 and 81,847.77

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Solution

The fourth proportional to 145,510.53, 200,806.19 and 81,847.77 is: 112,950.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,510.53 : 200,806.19 = 81,847.77 : x
  2. Step 2: Convert to fraction form
    145,510.53/200,806.19 = 81,847.77/x
  3. Step 3: Cross multiply
    145,510.53x = 200,806.19 × 81,847.77
  4. Step 4: Simplify right side
    145,510.53x = 16,435,538,853.70
  5. Step 5: Solve for x
    x = 16,435,538,853.70/145,510.53
  6. Step 6: Final answer
    x = 112,950.86

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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.