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Finding the Fourth Proportional to 140,180.40, 210,319.20 and 61,351.20

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Solution

The fourth proportional to 140,180.40, 210,319.20 and 61,351.20 is: 92,048.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,180.40 : 210,319.20 = 61,351.20 : x
  2. Step 2: Convert to fraction form
    140,180.40/210,319.20 = 61,351.20/x
  3. Step 3: Cross multiply
    140,180.40x = 210,319.20 × 61,351.20
  4. Step 4: Simplify right side
    140,180.40x = 12,903,335,303.04
  5. Step 5: Solve for x
    x = 12,903,335,303.04/140,180.40
  6. Step 6: Final answer
    x = 92,048.07

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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.