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Finding the Fourth Proportional to 206,386.14, 309,558.46 and 56,641.48

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Solution

The fourth proportional to 206,386.14, 309,558.46 and 56,641.48 is: 84,956.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,386.14 : 309,558.46 = 56,641.48 : x
  2. Step 2: Convert to fraction form
    206,386.14/309,558.46 = 56,641.48/x
  3. Step 3: Cross multiply
    206,386.14x = 309,558.46 × 56,641.48
  4. Step 4: Simplify right side
    206,386.14x = 17,533,849,320.92
  5. Step 5: Solve for x
    x = 17,533,849,320.92/206,386.14
  6. Step 6: Final answer
    x = 84,956.53

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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.