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Finding the Fourth Proportional to 307,549.60, 461,105.67 and 117,849.22

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Solution

The fourth proportional to 307,549.60, 461,105.67 and 117,849.22 is: 176,690.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,549.60 : 461,105.67 = 117,849.22 : x
  2. Step 2: Convert to fraction form
    307,549.60/461,105.67 = 117,849.22/x
  3. Step 3: Cross multiply
    307,549.60x = 461,105.67 × 117,849.22
  4. Step 4: Simplify right side
    307,549.60x = 54,340,943,547.08
  5. Step 5: Solve for x
    x = 54,340,943,547.08/307,549.60
  6. Step 6: Final answer
    x = 176,690.02

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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.