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Finding the Fourth Proportional to 130,805.71, 196,229.13 and 55,926.25

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Solution

The fourth proportional to 130,805.71, 196,229.13 and 55,926.25 is: 83,898.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,805.71 : 196,229.13 = 55,926.25 : x
  2. Step 2: Convert to fraction form
    130,805.71/196,229.13 = 55,926.25/x
  3. Step 3: Cross multiply
    130,805.71x = 196,229.13 × 55,926.25
  4. Step 4: Simplify right side
    130,805.71x = 10,974,358,681.37
  5. Step 5: Solve for x
    x = 10,974,358,681.37/130,805.71
  6. Step 6: Final answer
    x = 83,898.16

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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.