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Finding the Fourth Proportional to 162,971.20, 244,456.80 and 157,066.30

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Solution

The fourth proportional to 162,971.20, 244,456.80 and 157,066.30 is: 235,599.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,971.20 : 244,456.80 = 157,066.30 : x
  2. Step 2: Convert to fraction form
    162,971.20/244,456.80 = 157,066.30/x
  3. Step 3: Cross multiply
    162,971.20x = 244,456.80 × 157,066.30
  4. Step 4: Simplify right side
    162,971.20x = 38,395,925,085.84
  5. Step 5: Solve for x
    x = 38,395,925,085.84/162,971.20
  6. Step 6: Final answer
    x = 235,599.45

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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.