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Finding the Fourth Proportional to 162,854.10, 244,305.45 and 57,664.80

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Solution

The fourth proportional to 162,854.10, 244,305.45 and 57,664.80 is: 86,505.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,854.10 : 244,305.45 = 57,664.80 : x
  2. Step 2: Convert to fraction form
    162,854.10/244,305.45 = 57,664.80/x
  3. Step 3: Cross multiply
    162,854.10x = 244,305.45 × 57,664.80
  4. Step 4: Simplify right side
    162,854.10x = 14,087,824,913.16
  5. Step 5: Solve for x
    x = 14,087,824,913.16/162,854.10
  6. Step 6: Final answer
    x = 86,505.80

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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.