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Finding the Fourth Proportional to 235,513.70, 353,984.26 and 155,823.47

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Solution

The fourth proportional to 235,513.70, 353,984.26 and 155,823.47 is: 234,207.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,513.70 : 353,984.26 = 155,823.47 : x
  2. Step 2: Convert to fraction form
    235,513.70/353,984.26 = 155,823.47/x
  3. Step 3: Cross multiply
    235,513.70x = 353,984.26 × 155,823.47
  4. Step 4: Simplify right side
    235,513.70x = 55,159,055,718.58
  5. Step 5: Solve for x
    x = 55,159,055,718.58/235,513.70
  6. Step 6: Final answer
    x = 234,207.42

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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.