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Finding the Fourth Proportional to 345,686.86, 518,530.29 and 109,047.93

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Solution

The fourth proportional to 345,686.86, 518,530.29 and 109,047.93 is: 163,571.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,686.86 : 518,530.29 = 109,047.93 : x
  2. Step 2: Convert to fraction form
    345,686.86/518,530.29 = 109,047.93/x
  3. Step 3: Cross multiply
    345,686.86x = 518,530.29 × 109,047.93
  4. Step 4: Simplify right side
    345,686.86x = 56,544,654,766.80
  5. Step 5: Solve for x
    x = 56,544,654,766.80/345,686.86
  6. Step 6: Final answer
    x = 163,571.90

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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.