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Finding the Fourth Proportional to 145,473.50, 200,752.12 and 81,811.76

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Solution

The fourth proportional to 145,473.50, 200,752.12 and 81,811.76 is: 112,899.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,473.50 : 200,752.12 = 81,811.76 : x
  2. Step 2: Convert to fraction form
    145,473.50/200,752.12 = 81,811.76/x
  3. Step 3: Cross multiply
    145,473.50x = 200,752.12 × 81,811.76
  4. Step 4: Simplify right side
    145,473.50x = 16,423,883,359.44
  5. Step 5: Solve for x
    x = 16,423,883,359.44/145,473.50
  6. Step 6: Final answer
    x = 112,899.48

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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.