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Finding the Fourth Proportional to 216,690.84, 298,971.24 and 124,793.10

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Solution

The fourth proportional to 216,690.84, 298,971.24 and 124,793.10 is: 172,178.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,690.84 : 298,971.24 = 124,793.10 : x
  2. Step 2: Convert to fraction form
    216,690.84/298,971.24 = 124,793.10/x
  3. Step 3: Cross multiply
    216,690.84x = 298,971.24 × 124,793.10
  4. Step 4: Simplify right side
    216,690.84x = 37,309,547,850.44
  5. Step 5: Solve for x
    x = 37,309,547,850.44/216,690.84
  6. Step 6: Final answer
    x = 172,178.70

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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.