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Finding the Fourth Proportional to 97,459.30, 146,218.65 and 41,270.14

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Solution

The fourth proportional to 97,459.30, 146,218.65 and 41,270.14 is: 61,917.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,459.30 : 146,218.65 = 41,270.14 : x
  2. Step 2: Convert to fraction form
    97,459.30/146,218.65 = 41,270.14/x
  3. Step 3: Cross multiply
    97,459.30x = 146,218.65 × 41,270.14
  4. Step 4: Simplify right side
    97,459.30x = 6,034,464,156.11
  5. Step 5: Solve for x
    x = 6,034,464,156.11/97,459.30
  6. Step 6: Final answer
    x = 61,917.79

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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.