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Finding the Fourth Proportional to 149,602.68, 224,216.82 and 74,743.80

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Solution

The fourth proportional to 149,602.68, 224,216.82 and 74,743.80 is: 112,022.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,602.68 : 224,216.82 = 74,743.80 : x
  2. Step 2: Convert to fraction form
    149,602.68/224,216.82 = 74,743.80/x
  3. Step 3: Cross multiply
    149,602.68x = 224,216.82 × 74,743.80
  4. Step 4: Simplify right side
    149,602.68x = 16,758,817,150.72
  5. Step 5: Solve for x
    x = 16,758,817,150.72/149,602.68
  6. Step 6: Final answer
    x = 112,022.17

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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.