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Finding the Fourth Proportional to 158,204.52, 237,342.33 and 53,020.80

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Solution

The fourth proportional to 158,204.52, 237,342.33 and 53,020.80 is: 79,543.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,204.52 : 237,342.33 = 53,020.80 : x
  2. Step 2: Convert to fraction form
    158,204.52/237,342.33 = 53,020.80/x
  3. Step 3: Cross multiply
    158,204.52x = 237,342.33 × 53,020.80
  4. Step 4: Simplify right side
    158,204.52x = 12,584,080,210.46
  5. Step 5: Solve for x
    x = 12,584,080,210.46/158,204.52
  6. Step 6: Final answer
    x = 79,543.11

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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.