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Finding the Fourth Proportional to 259,407.75, 357,988.17 and 146,230.50

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Solution

The fourth proportional to 259,407.75, 357,988.17 and 146,230.50 is: 201,801.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,407.75 : 357,988.17 = 146,230.50 : x
  2. Step 2: Convert to fraction form
    259,407.75/357,988.17 = 146,230.50/x
  3. Step 3: Cross multiply
    259,407.75x = 357,988.17 × 146,230.50
  4. Step 4: Simplify right side
    259,407.75x = 52,348,789,093.19
  5. Step 5: Solve for x
    x = 52,348,789,093.19/259,407.75
  6. Step 6: Final answer
    x = 201,801.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.