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Finding the Fourth Proportional to 117,562.24, 176,978.95 and 107,099.50

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Solution

The fourth proportional to 117,562.24, 176,978.95 and 107,099.50 is: 161,228.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,562.24 : 176,978.95 = 107,099.50 : x
  2. Step 2: Convert to fraction form
    117,562.24/176,978.95 = 107,099.50/x
  3. Step 3: Cross multiply
    117,562.24x = 176,978.95 × 107,099.50
  4. Step 4: Simplify right side
    117,562.24x = 18,954,357,055.53
  5. Step 5: Solve for x
    x = 18,954,357,055.53/117,562.24
  6. Step 6: Final answer
    x = 161,228.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.