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Finding the Fourth Proportional to 231,054.80, 346,582.20 and 97,912.40

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Solution

The fourth proportional to 231,054.80, 346,582.20 and 97,912.40 is: 146,868.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,054.80 : 346,582.20 = 97,912.40 : x
  2. Step 2: Convert to fraction form
    231,054.80/346,582.20 = 97,912.40/x
  3. Step 3: Cross multiply
    231,054.80x = 346,582.20 × 97,912.40
  4. Step 4: Simplify right side
    231,054.80x = 33,934,694,999.28
  5. Step 5: Solve for x
    x = 33,934,694,999.28/231,054.80
  6. Step 6: Final answer
    x = 146,868.60

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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.