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Finding the Fourth Proportional to 224,077.52, 336,168.12 and 99,428.24

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Solution

The fourth proportional to 224,077.52, 336,168.12 and 99,428.24 is: 149,165.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,077.52 : 336,168.12 = 99,428.24 : x
  2. Step 2: Convert to fraction form
    224,077.52/336,168.12 = 99,428.24/x
  3. Step 3: Cross multiply
    224,077.52x = 336,168.12 × 99,428.24
  4. Step 4: Simplify right side
    224,077.52x = 33,424,604,515.71
  5. Step 5: Solve for x
    x = 33,424,604,515.71/224,077.52
  6. Step 6: Final answer
    x = 149,165.36

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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.