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Finding the Fourth Proportional to 206,867.60, 310,301.40 and 146,506.40

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Solution

The fourth proportional to 206,867.60, 310,301.40 and 146,506.40 is: 219,759.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,867.60 : 310,301.40 = 146,506.40 : x
  2. Step 2: Convert to fraction form
    206,867.60/310,301.40 = 146,506.40/x
  3. Step 3: Cross multiply
    206,867.60x = 310,301.40 × 146,506.40
  4. Step 4: Simplify right side
    206,867.60x = 45,461,141,028.96
  5. Step 5: Solve for x
    x = 45,461,141,028.96/206,867.60
  6. Step 6: Final answer
    x = 219,759.60

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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.