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Finding the Fourth Proportional to 137,194, 205,603.95 and 83,904.50

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Solution

The fourth proportional to 137,194, 205,603.95 and 83,904.50 is: 125,742.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,194 : 205,603.95 = 83,904.50 : x
  2. Step 2: Convert to fraction form
    137,194/205,603.95 = 83,904.50/x
  3. Step 3: Cross multiply
    137,194x = 205,603.95 × 83,904.50
  4. Step 4: Simplify right side
    137,194x = 17,251,096,622.78
  5. Step 5: Solve for x
    x = 17,251,096,622.78/137,194
  6. Step 6: Final answer
    x = 125,742.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.