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Finding the Fourth Proportional to 261,264.89, 392,032.20 and 111,464.98

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Solution

The fourth proportional to 261,264.89, 392,032.20 and 111,464.98 is: 167,255.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,264.89 : 392,032.20 = 111,464.98 : x
  2. Step 2: Convert to fraction form
    261,264.89/392,032.20 = 111,464.98/x
  3. Step 3: Cross multiply
    261,264.89x = 392,032.20 × 111,464.98
  4. Step 4: Simplify right side
    261,264.89x = 43,697,861,332.36
  5. Step 5: Solve for x
    x = 43,697,861,332.36/261,264.89
  6. Step 6: Final answer
    x = 167,255.01

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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.