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Finding the Fourth Proportional to 307,987.49, 461,981.24 and 97,625.43

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Solution

The fourth proportional to 307,987.49, 461,981.24 and 97,625.43 is: 146,438.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,987.49 : 461,981.24 = 97,625.43 : x
  2. Step 2: Convert to fraction form
    307,987.49/461,981.24 = 97,625.43/x
  3. Step 3: Cross multiply
    307,987.49x = 461,981.24 × 97,625.43
  4. Step 4: Simplify right side
    307,987.49x = 45,101,116,718.81
  5. Step 5: Solve for x
    x = 45,101,116,718.81/307,987.49
  6. Step 6: Final answer
    x = 146,438.15

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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.