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Finding the Fourth Proportional to 117,253.81, 175,878.28 and 28,507.78

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Solution

The fourth proportional to 117,253.81, 175,878.28 and 28,507.78 is: 42,761.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,253.81 : 175,878.28 = 28,507.78 : x
  2. Step 2: Convert to fraction form
    117,253.81/175,878.28 = 28,507.78/x
  3. Step 3: Cross multiply
    117,253.81x = 175,878.28 × 28,507.78
  4. Step 4: Simplify right side
    117,253.81x = 5,013,899,313.02
  5. Step 5: Solve for x
    x = 5,013,899,313.02/117,253.81
  6. Step 6: Final answer
    x = 42,761.08

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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.