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Finding the Fourth Proportional to 117,833.64, 176,750.46 and 55,509

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Solution

The fourth proportional to 117,833.64, 176,750.46 and 55,509 is: 83,263.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,833.64 : 176,750.46 = 55,509 : x
  2. Step 2: Convert to fraction form
    117,833.64/176,750.46 = 55,509/x
  3. Step 3: Cross multiply
    117,833.64x = 176,750.46 × 55,509
  4. Step 4: Simplify right side
    117,833.64x = 9,811,241,284.14
  5. Step 5: Solve for x
    x = 9,811,241,284.14/117,833.64
  6. Step 6: Final answer
    x = 83,263.50

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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.