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Finding the Fourth Proportional to 162,443.68, 243,698.32 and 57,336.46

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Solution

The fourth proportional to 162,443.68, 243,698.32 and 57,336.46 is: 86,016.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,443.68 : 243,698.32 = 57,336.46 : x
  2. Step 2: Convert to fraction form
    162,443.68/243,698.32 = 57,336.46/x
  3. Step 3: Cross multiply
    162,443.68x = 243,698.32 × 57,336.46
  4. Step 4: Simplify right side
    162,443.68x = 13,972,798,439.17
  5. Step 5: Solve for x
    x = 13,972,798,439.17/162,443.68
  6. Step 6: Final answer
    x = 86,016.27

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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.