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Finding the Fourth Proportional to 162,022.70, 243,034.05 and 152,837.30

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Solution

The fourth proportional to 162,022.70, 243,034.05 and 152,837.30 is: 229,255.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,022.70 : 243,034.05 = 152,837.30 : x
  2. Step 2: Convert to fraction form
    162,022.70/243,034.05 = 152,837.30/x
  3. Step 3: Cross multiply
    162,022.70x = 243,034.05 × 152,837.30
  4. Step 4: Simplify right side
    162,022.70x = 37,144,668,010.07
  5. Step 5: Solve for x
    x = 37,144,668,010.07/162,022.70
  6. Step 6: Final answer
    x = 229,255.95

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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.