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Finding the Fourth Proportional to 240,547.60, 360,853.80 and 82,824.40

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Solution

The fourth proportional to 240,547.60, 360,853.80 and 82,824.40 is: 124,247.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,547.60 : 360,853.80 = 82,824.40 : x
  2. Step 2: Convert to fraction form
    240,547.60/360,853.80 = 82,824.40/x
  3. Step 3: Cross multiply
    240,547.60x = 360,853.80 × 82,824.40
  4. Step 4: Simplify right side
    240,547.60x = 29,887,499,472.72
  5. Step 5: Solve for x
    x = 29,887,499,472.72/240,547.60
  6. Step 6: Final answer
    x = 124,247.76

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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.