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Finding the Fourth Proportional to 307,615.93, 461,421.01 and 97,253.89

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Solution

The fourth proportional to 307,615.93, 461,421.01 and 97,253.89 is: 145,879.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,615.93 : 461,421.01 = 97,253.89 : x
  2. Step 2: Convert to fraction form
    307,615.93/461,421.01 = 97,253.89/x
  3. Step 3: Cross multiply
    307,615.93x = 461,421.01 × 97,253.89
  4. Step 4: Simplify right side
    307,615.93x = 44,874,987,118.24
  5. Step 5: Solve for x
    x = 44,874,987,118.24/307,615.93
  6. Step 6: Final answer
    x = 145,879.92

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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.