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Finding the Fourth Proportional to 307,642.65, 461,496.17 and 83,004.94

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Solution

The fourth proportional to 307,642.65, 461,496.17 and 83,004.94 is: 124,516.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,642.65 : 461,496.17 = 83,004.94 : x
  2. Step 2: Convert to fraction form
    307,642.65/461,496.17 = 83,004.94/x
  3. Step 3: Cross multiply
    307,642.65x = 461,496.17 × 83,004.94
  4. Step 4: Simplify right side
    307,642.65x = 38,306,461,901.08
  5. Step 5: Solve for x
    x = 38,306,461,901.08/307,642.65
  6. Step 6: Final answer
    x = 124,516.10

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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.