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Finding the Fourth Proportional to 140,728.94, 194,127.16 and 83,312.25

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Solution

The fourth proportional to 140,728.94, 194,127.16 and 83,312.25 is: 114,924.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,728.94 : 194,127.16 = 83,312.25 : x
  2. Step 2: Convert to fraction form
    140,728.94/194,127.16 = 83,312.25/x
  3. Step 3: Cross multiply
    140,728.94x = 194,127.16 × 83,312.25
  4. Step 4: Simplify right side
    140,728.94x = 16,173,169,471.35
  5. Step 5: Solve for x
    x = 16,173,169,471.35/140,728.94
  6. Step 6: Final answer
    x = 114,924.26

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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.