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Finding the Fourth Proportional to 139,904.56, 193,124.28 and 83,305

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Solution

The fourth proportional to 139,904.56, 193,124.28 and 83,305 is: 114,994.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,904.56 : 193,124.28 = 83,305 : x
  2. Step 2: Convert to fraction form
    139,904.56/193,124.28 = 83,305/x
  3. Step 3: Cross multiply
    139,904.56x = 193,124.28 × 83,305
  4. Step 4: Simplify right side
    139,904.56x = 16,088,218,145.40
  5. Step 5: Solve for x
    x = 16,088,218,145.40/139,904.56
  6. Step 6: Final answer
    x = 114,994.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.