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Finding the Fourth Proportional to 224,819, 310,240.56 and 122,842.83

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Solution

The fourth proportional to 224,819, 310,240.56 and 122,842.83 is: 169,517.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,819 : 310,240.56 = 122,842.83 : x
  2. Step 2: Convert to fraction form
    224,819/310,240.56 = 122,842.83/x
  3. Step 3: Cross multiply
    224,819x = 310,240.56 × 122,842.83
  4. Step 4: Simplify right side
    224,819x = 38,110,828,371.18
  5. Step 5: Solve for x
    x = 38,110,828,371.18/224,819
  6. Step 6: Final answer
    x = 169,517.83

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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.