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Finding the Fourth Proportional to 377,023.86, 565,358.09 and 136,968.46

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Solution

The fourth proportional to 377,023.86, 565,358.09 and 136,968.46 is: 205,388.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,023.86 : 565,358.09 = 136,968.46 : x
  2. Step 2: Convert to fraction form
    377,023.86/565,358.09 = 136,968.46/x
  3. Step 3: Cross multiply
    377,023.86x = 565,358.09 × 136,968.46
  4. Step 4: Simplify right side
    377,023.86x = 77,436,225,864.87
  5. Step 5: Solve for x
    x = 77,436,225,864.87/377,023.86
  6. Step 6: Final answer
    x = 205,388.13

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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.