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Finding the Fourth Proportional to 145,523.52, 200,821.68 and 81,860.22

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Solution

The fourth proportional to 145,523.52, 200,821.68 and 81,860.22 is: 112,966.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,523.52 : 200,821.68 = 81,860.22 : x
  2. Step 2: Convert to fraction form
    145,523.52/200,821.68 = 81,860.22/x
  3. Step 3: Cross multiply
    145,523.52x = 200,821.68 × 81,860.22
  4. Step 4: Simplify right side
    145,523.52x = 16,439,306,905.57
  5. Step 5: Solve for x
    x = 16,439,306,905.57/145,523.52
  6. Step 6: Final answer
    x = 112,966.67

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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.