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Finding the Fourth Proportional to 224,027.49, 336,103.53 and 97,678.78

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Solution

The fourth proportional to 224,027.49, 336,103.53 and 97,678.78 is: 146,545.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,027.49 : 336,103.53 = 97,678.78 : x
  2. Step 2: Convert to fraction form
    224,027.49/336,103.53 = 97,678.78/x
  3. Step 3: Cross multiply
    224,027.49x = 336,103.53 × 97,678.78
  4. Step 4: Simplify right side
    224,027.49x = 32,830,181,557.54
  5. Step 5: Solve for x
    x = 32,830,181,557.54/224,027.49
  6. Step 6: Final answer
    x = 146,545.32

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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.