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Finding the Fourth Proportional to 307,551.70, 461,241.15 and 97,254.10

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Solution

The fourth proportional to 307,551.70, 461,241.15 and 97,254.10 is: 145,853.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,551.70 : 461,241.15 = 97,254.10 : x
  2. Step 2: Convert to fraction form
    307,551.70/461,241.15 = 97,254.10/x
  3. Step 3: Cross multiply
    307,551.70x = 461,241.15 × 97,254.10
  4. Step 4: Simplify right side
    307,551.70x = 44,857,592,926.22
  5. Step 5: Solve for x
    x = 44,857,592,926.22/307,551.70
  6. Step 6: Final answer
    x = 145,853.83

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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.