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Finding the Fourth Proportional to 289,417.80, 434,105.10 and 120,894.60

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Solution

The fourth proportional to 289,417.80, 434,105.10 and 120,894.60 is: 181,332.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,417.80 : 434,105.10 = 120,894.60 : x
  2. Step 2: Convert to fraction form
    289,417.80/434,105.10 = 120,894.60/x
  3. Step 3: Cross multiply
    289,417.80x = 434,105.10 × 120,894.60
  4. Step 4: Simplify right side
    289,417.80x = 52,480,962,422.46
  5. Step 5: Solve for x
    x = 52,480,962,422.46/289,417.80
  6. Step 6: Final answer
    x = 181,332.88

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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.