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Finding the Fourth Proportional to 261,950.54, 392,597.33 and 112,014.86

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Solution

The fourth proportional to 261,950.54, 392,597.33 and 112,014.86 is: 167,881.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,950.54 : 392,597.33 = 112,014.86 : x
  2. Step 2: Convert to fraction form
    261,950.54/392,597.33 = 112,014.86/x
  3. Step 3: Cross multiply
    261,950.54x = 392,597.33 × 112,014.86
  4. Step 4: Simplify right side
    261,950.54x = 43,976,732,433.26
  5. Step 5: Solve for x
    x = 43,976,732,433.26/261,950.54
  6. Step 6: Final answer
    x = 167,881.82

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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.