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Finding the Fourth Proportional to 130,880.90, 196,352.10 and 42,131.07

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Solution

The fourth proportional to 130,880.90, 196,352.10 and 42,131.07 is: 63,206.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,880.90 : 196,352.10 = 42,131.07 : x
  2. Step 2: Convert to fraction form
    130,880.90/196,352.10 = 42,131.07/x
  3. Step 3: Cross multiply
    130,880.90x = 196,352.10 × 42,131.07
  4. Step 4: Simplify right side
    130,880.90x = 8,272,524,069.75
  5. Step 5: Solve for x
    x = 8,272,524,069.75/130,880.90
  6. Step 6: Final answer
    x = 63,206.50

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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.