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Finding the Fourth Proportional to 307,399.46, 461,167.43 and 94,196.93

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Solution

The fourth proportional to 307,399.46, 461,167.43 and 94,196.93 is: 141,316.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,399.46 : 461,167.43 = 94,196.93 : x
  2. Step 2: Convert to fraction form
    307,399.46/461,167.43 = 94,196.93/x
  3. Step 3: Cross multiply
    307,399.46x = 461,167.43 × 94,196.93
  4. Step 4: Simplify right side
    307,399.46x = 43,440,553,345.17
  5. Step 5: Solve for x
    x = 43,440,553,345.17/307,399.46
  6. Step 6: Final answer
    x = 141,316.30

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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.