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Finding the Fourth Proportional to 253,761.14, 350,202 and 144,894.95

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Solution

The fourth proportional to 253,761.14, 350,202 and 144,894.95 is: 199,961.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,761.14 : 350,202 = 144,894.95 : x
  2. Step 2: Convert to fraction form
    253,761.14/350,202 = 144,894.95/x
  3. Step 3: Cross multiply
    253,761.14x = 350,202 × 144,894.95
  4. Step 4: Simplify right side
    253,761.14x = 50,742,499,528.89
  5. Step 5: Solve for x
    x = 50,742,499,528.89/253,761.14
  6. Step 6: Final answer
    x = 199,961.67

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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.