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Finding the Fourth Proportional to 261,044.34, 360,266.55 and 146,342.46

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Solution

The fourth proportional to 261,044.34, 360,266.55 and 146,342.46 is: 201,966.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,044.34 : 360,266.55 = 146,342.46 : x
  2. Step 2: Convert to fraction form
    261,044.34/360,266.55 = 146,342.46/x
  3. Step 3: Cross multiply
    261,044.34x = 360,266.55 × 146,342.46
  4. Step 4: Simplify right side
    261,044.34x = 52,722,293,182.71
  5. Step 5: Solve for x
    x = 52,722,293,182.71/261,044.34
  6. Step 6: Final answer
    x = 201,966.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.