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Finding the Fourth Proportional to 259,085.69, 357,538.98 and 150,211.19

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Solution

The fourth proportional to 259,085.69, 357,538.98 and 150,211.19 is: 207,291.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,085.69 : 357,538.98 = 150,211.19 : x
  2. Step 2: Convert to fraction form
    259,085.69/357,538.98 = 150,211.19/x
  3. Step 3: Cross multiply
    259,085.69x = 357,538.98 × 150,211.19
  4. Step 4: Simplify right side
    259,085.69x = 53,706,353,869.49
  5. Step 5: Solve for x
    x = 53,706,353,869.49/259,085.69
  6. Step 6: Final answer
    x = 207,291.86

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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.