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Finding the Fourth Proportional to 117,130.80, 175,719.32 and 38,223.84

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Solution

The fourth proportional to 117,130.80, 175,719.32 and 38,223.84 is: 57,343.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,130.80 : 175,719.32 = 38,223.84 : x
  2. Step 2: Convert to fraction form
    117,130.80/175,719.32 = 38,223.84/x
  3. Step 3: Cross multiply
    117,130.80x = 175,719.32 × 38,223.84
  4. Step 4: Simplify right side
    117,130.80x = 6,716,667,172.59
  5. Step 5: Solve for x
    x = 6,716,667,172.59/117,130.80
  6. Step 6: Final answer
    x = 57,343.30

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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.