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Finding the Fourth Proportional to 130,756.87, 196,106.14 and 51,849.91

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Solution

The fourth proportional to 130,756.87, 196,106.14 and 51,849.91 is: 77,763.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,756.87 : 196,106.14 = 51,849.91 : x
  2. Step 2: Convert to fraction form
    130,756.87/196,106.14 = 51,849.91/x
  3. Step 3: Cross multiply
    130,756.87x = 196,106.14 × 51,849.91
  4. Step 4: Simplify right side
    130,756.87x = 10,168,085,709.45
  5. Step 5: Solve for x
    x = 10,168,085,709.45/130,756.87
  6. Step 6: Final answer
    x = 77,763.30

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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.