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Finding the Fourth Proportional to 261,889.52, 393,109.14 and 232,094.38

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Solution

The fourth proportional to 261,889.52, 393,109.14 and 232,094.38 is: 348,385.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,889.52 : 393,109.14 = 232,094.38 : x
  2. Step 2: Convert to fraction form
    261,889.52/393,109.14 = 232,094.38/x
  3. Step 3: Cross multiply
    261,889.52x = 393,109.14 × 232,094.38
  4. Step 4: Simplify right side
    261,889.52x = 91,238,422,120.63
  5. Step 5: Solve for x
    x = 91,238,422,120.63/261,889.52
  6. Step 6: Final answer
    x = 348,385.16

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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.