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Finding the Fourth Proportional to 137,268.86, 189,434.23 and 76,838.00

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Solution

The fourth proportional to 137,268.86, 189,434.23 and 76,838.00 is: 106,038.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,268.86 : 189,434.23 = 76,838.00 : x
  2. Step 2: Convert to fraction form
    137,268.86/189,434.23 = 76,838.00/x
  3. Step 3: Cross multiply
    137,268.86x = 189,434.23 × 76,838.00
  4. Step 4: Simplify right side
    137,268.86x = 14,555,746,225.47
  5. Step 5: Solve for x
    x = 14,555,746,225.47/137,268.86
  6. Step 6: Final answer
    x = 106,038.23

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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.