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Finding the Fourth Proportional to 259,084.97, 357,537.98 and 150,210.46

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Solution

The fourth proportional to 259,084.97, 357,537.98 and 150,210.46 is: 207,290.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,084.97 : 357,537.98 = 150,210.46 : x
  2. Step 2: Convert to fraction form
    259,084.97/357,537.98 = 150,210.46/x
  3. Step 3: Cross multiply
    259,084.97x = 357,537.98 × 150,210.46
  4. Step 4: Simplify right side
    259,084.97x = 53,705,943,750.40
  5. Step 5: Solve for x
    x = 53,705,943,750.40/259,084.97
  6. Step 6: Final answer
    x = 207,290.85

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1.5x scale

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.