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Finding the Fourth Proportional to 148,828.32, 223,246.80 and 65,728.80

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Solution

The fourth proportional to 148,828.32, 223,246.80 and 65,728.80 is: 98,595.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,828.32 : 223,246.80 = 65,728.80 : x
  2. Step 2: Convert to fraction form
    148,828.32/223,246.80 = 65,728.80/x
  3. Step 3: Cross multiply
    148,828.32x = 223,246.80 × 65,728.80
  4. Step 4: Simplify right side
    148,828.32x = 14,673,744,267.84
  5. Step 5: Solve for x
    x = 14,673,744,267.84/148,828.32
  6. Step 6: Final answer
    x = 98,595.11

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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.