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Finding the Fourth Proportional to 261,989.40, 392,984.10 and 192,005.40

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Solution

The fourth proportional to 261,989.40, 392,984.10 and 192,005.40 is: 288,008.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,989.40 : 392,984.10 = 192,005.40 : x
  2. Step 2: Convert to fraction form
    261,989.40/392,984.10 = 192,005.40/x
  3. Step 3: Cross multiply
    261,989.40x = 392,984.10 × 192,005.40
  4. Step 4: Simplify right side
    261,989.40x = 75,455,069,314.14
  5. Step 5: Solve for x
    x = 75,455,069,314.14/261,989.40
  6. Step 6: Final answer
    x = 288,008.10

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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.