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Finding the Fourth Proportional to 224,061.98, 309,191.11 and 133,424.60

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Solution

The fourth proportional to 224,061.98, 309,191.11 and 133,424.60 is: 184,117.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,061.98 : 309,191.11 = 133,424.60 : x
  2. Step 2: Convert to fraction form
    224,061.98/309,191.11 = 133,424.60/x
  3. Step 3: Cross multiply
    224,061.98x = 309,191.11 × 133,424.60
  4. Step 4: Simplify right side
    224,061.98x = 41,253,698,295.79
  5. Step 5: Solve for x
    x = 41,253,698,295.79/224,061.98
  6. Step 6: Final answer
    x = 184,117.36

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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.