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Finding the Fourth Proportional to 162,059.40, 242,570.70 and 149,617.80

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Solution

The fourth proportional to 162,059.40, 242,570.70 and 149,617.80 is: 223,948.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,059.40 : 242,570.70 = 149,617.80 : x
  2. Step 2: Convert to fraction form
    162,059.40/242,570.70 = 149,617.80/x
  3. Step 3: Cross multiply
    162,059.40x = 242,570.70 × 149,617.80
  4. Step 4: Simplify right side
    162,059.40x = 36,292,894,478.46
  5. Step 5: Solve for x
    x = 36,292,894,478.46/162,059.40
  6. Step 6: Final answer
    x = 223,948.10

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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.