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Finding the Fourth Proportional to 315,892.60, 473,769.19 and 91,204.16

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Solution

The fourth proportional to 315,892.60, 473,769.19 and 91,204.16 is: 136,786.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,892.60 : 473,769.19 = 91,204.16 : x
  2. Step 2: Convert to fraction form
    315,892.60/473,769.19 = 91,204.16/x
  3. Step 3: Cross multiply
    315,892.60x = 473,769.19 × 91,204.16
  4. Step 4: Simplify right side
    315,892.60x = 43,209,718,752.99
  5. Step 5: Solve for x
    x = 43,209,718,752.99/315,892.60
  6. Step 6: Final answer
    x = 136,786.11

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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.