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Finding the Fourth Proportional to 232,743.30, 349,114.95 and 114,645.30

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Solution

The fourth proportional to 232,743.30, 349,114.95 and 114,645.30 is: 171,967.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,743.30 : 349,114.95 = 114,645.30 : x
  2. Step 2: Convert to fraction form
    232,743.30/349,114.95 = 114,645.30/x
  3. Step 3: Cross multiply
    232,743.30x = 349,114.95 × 114,645.30
  4. Step 4: Simplify right side
    232,743.30x = 40,024,388,177.24
  5. Step 5: Solve for x
    x = 40,024,388,177.24/232,743.30
  6. Step 6: Final answer
    x = 171,967.95

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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.