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Finding the Fourth Proportional to 145,144.66, 200,299.47 and 81,482.59

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Solution

The fourth proportional to 145,144.66, 200,299.47 and 81,482.59 is: 112,445.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,144.66 : 200,299.47 = 81,482.59 : x
  2. Step 2: Convert to fraction form
    145,144.66/200,299.47 = 81,482.59/x
  3. Step 3: Cross multiply
    145,144.66x = 200,299.47 × 81,482.59
  4. Step 4: Simplify right side
    145,144.66x = 16,320,919,591.23
  5. Step 5: Solve for x
    x = 16,320,919,591.23/145,144.66
  6. Step 6: Final answer
    x = 112,445.88

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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.