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Finding the Fourth Proportional to 162,970.70, 244,456.05 and 157,065.80

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Solution

The fourth proportional to 162,970.70, 244,456.05 and 157,065.80 is: 235,598.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,970.70 : 244,456.05 = 157,065.80 : x
  2. Step 2: Convert to fraction form
    162,970.70/244,456.05 = 157,065.80/x
  3. Step 3: Cross multiply
    162,970.70x = 244,456.05 × 157,065.80
  4. Step 4: Simplify right side
    162,970.70x = 38,395,685,058.09
  5. Step 5: Solve for x
    x = 38,395,685,058.09/162,970.70
  6. Step 6: Final answer
    x = 235,598.70

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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.