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Finding the Fourth Proportional to 307,569.02, 461,313 and 91,423.15

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Solution

The fourth proportional to 307,569.02, 461,313 and 91,423.15 is: 137,122.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,569.02 : 461,313 = 91,423.15 : x
  2. Step 2: Convert to fraction form
    307,569.02/461,313 = 91,423.15/x
  3. Step 3: Cross multiply
    307,569.02x = 461,313 × 91,423.15
  4. Step 4: Simplify right side
    307,569.02x = 42,174,686,442.67
  5. Step 5: Solve for x
    x = 42,174,686,442.67/307,569.02
  6. Step 6: Final answer
    x = 137,122.68

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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.