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Finding the Fourth Proportional to 142,717.40, 214,025.70 and 49,201.40

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Solution

The fourth proportional to 142,717.40, 214,025.70 and 49,201.40 is: 73,784.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,717.40 : 214,025.70 = 49,201.40 : x
  2. Step 2: Convert to fraction form
    142,717.40/214,025.70 = 49,201.40/x
  3. Step 3: Cross multiply
    142,717.40x = 214,025.70 × 49,201.40
  4. Step 4: Simplify right side
    142,717.40x = 10,530,364,075.98
  5. Step 5: Solve for x
    x = 10,530,364,075.98/142,717.40
  6. Step 6: Final answer
    x = 73,784.72

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1.5x scale

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.