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Finding the Fourth Proportional to 130,953.74, 196,266.28 and 55,985.78

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Solution

The fourth proportional to 130,953.74, 196,266.28 and 55,985.78 is: 83,908.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,953.74 : 196,266.28 = 55,985.78 : x
  2. Step 2: Convert to fraction form
    130,953.74/196,266.28 = 55,985.78/x
  3. Step 3: Cross multiply
    130,953.74x = 196,266.28 × 55,985.78
  4. Step 4: Simplify right side
    130,953.74x = 10,988,119,908.45
  5. Step 5: Solve for x
    x = 10,988,119,908.45/130,953.74
  6. Step 6: Final answer
    x = 83,908.41

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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.