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Finding the Fourth Proportional to 162,854.84, 243,867.54 and 107,282.36

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Solution

The fourth proportional to 162,854.84, 243,867.54 and 107,282.36 is: 160,650.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,854.84 : 243,867.54 = 107,282.36 : x
  2. Step 2: Convert to fraction form
    162,854.84/243,867.54 = 107,282.36/x
  3. Step 3: Cross multiply
    162,854.84x = 243,867.54 × 107,282.36
  4. Step 4: Simplify right side
    162,854.84x = 26,162,685,218.59
  5. Step 5: Solve for x
    x = 26,162,685,218.59/162,854.84
  6. Step 6: Final answer
    x = 160,650.34

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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.