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Finding the Fourth Proportional to 411,156.41, 616,712.54 and 130,651.79

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Solution

The fourth proportional to 411,156.41, 616,712.54 and 130,651.79 is: 195,970.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,156.41 : 616,712.54 = 130,651.79 : x
  2. Step 2: Convert to fraction form
    411,156.41/616,712.54 = 130,651.79/x
  3. Step 3: Cross multiply
    411,156.41x = 616,712.54 × 130,651.79
  4. Step 4: Simplify right side
    411,156.41x = 80,574,593,529.63
  5. Step 5: Solve for x
    x = 80,574,593,529.63/411,156.41
  6. Step 6: Final answer
    x = 195,970.66

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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.