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Finding the Fourth Proportional to 145,169.46, 217,767.96 and 56,429.82

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Solution

The fourth proportional to 145,169.46, 217,767.96 and 56,429.82 is: 84,650.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,169.46 : 217,767.96 = 56,429.82 : x
  2. Step 2: Convert to fraction form
    145,169.46/217,767.96 = 56,429.82/x
  3. Step 3: Cross multiply
    145,169.46x = 217,767.96 × 56,429.82
  4. Step 4: Simplify right side
    145,169.46x = 12,288,606,784.57
  5. Step 5: Solve for x
    x = 12,288,606,784.57/145,169.46
  6. Step 6: Final answer
    x = 84,650.08

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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.