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Finding the Fourth Proportional to 162,101.82, 243,164.40 and 62,262

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Solution

The fourth proportional to 162,101.82, 243,164.40 and 62,262 is: 93,397.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,101.82 : 243,164.40 = 62,262 : x
  2. Step 2: Convert to fraction form
    162,101.82/243,164.40 = 62,262/x
  3. Step 3: Cross multiply
    162,101.82x = 243,164.40 × 62,262
  4. Step 4: Simplify right side
    162,101.82x = 15,139,901,872.80
  5. Step 5: Solve for x
    x = 15,139,901,872.80/162,101.82
  6. Step 6: Final answer
    x = 93,397.48

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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.