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Finding the Fourth Proportional to 280,547.48, 420,924.90 and 103,170.44

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Solution

The fourth proportional to 280,547.48, 420,924.90 and 103,170.44 is: 154,793.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,547.48 : 420,924.90 = 103,170.44 : x
  2. Step 2: Convert to fraction form
    280,547.48/420,924.90 = 103,170.44/x
  3. Step 3: Cross multiply
    280,547.48x = 420,924.90 × 103,170.44
  4. Step 4: Simplify right side
    280,547.48x = 43,427,007,139.96
  5. Step 5: Solve for x
    x = 43,427,007,139.96/280,547.48
  6. Step 6: Final answer
    x = 154,793.79

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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.