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Finding the Fourth Proportional to 117,263.76, 175,878.64 and 38,381.12

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Solution

The fourth proportional to 117,263.76, 175,878.64 and 38,381.12 is: 57,566.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,263.76 : 175,878.64 = 38,381.12 : x
  2. Step 2: Convert to fraction form
    117,263.76/175,878.64 = 38,381.12/x
  3. Step 3: Cross multiply
    117,263.76x = 175,878.64 × 38,381.12
  4. Step 4: Simplify right side
    117,263.76x = 6,750,419,187.28
  5. Step 5: Solve for x
    x = 6,750,419,187.28/117,263.76
  6. Step 6: Final answer
    x = 57,566.12

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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.