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Finding the Fourth Proportional to 314,133.20, 470,892.60 and 126,894.80

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Solution

The fourth proportional to 314,133.20, 470,892.60 and 126,894.80 is: 190,218.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,133.20 : 470,892.60 = 126,894.80 : x
  2. Step 2: Convert to fraction form
    314,133.20/470,892.60 = 126,894.80/x
  3. Step 3: Cross multiply
    314,133.20x = 470,892.60 × 126,894.80
  4. Step 4: Simplify right side
    314,133.20x = 59,753,822,298.48
  5. Step 5: Solve for x
    x = 59,753,822,298.48/314,133.20
  6. Step 6: Final answer
    x = 190,218.11

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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.