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Finding the Fourth Proportional to 102,282.64, 141,193.72 and 68,768.08

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Solution

The fourth proportional to 102,282.64, 141,193.72 and 68,768.08 is: 94,929.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,282.64 : 141,193.72 = 68,768.08 : x
  2. Step 2: Convert to fraction form
    102,282.64/141,193.72 = 68,768.08/x
  3. Step 3: Cross multiply
    102,282.64x = 141,193.72 × 68,768.08
  4. Step 4: Simplify right side
    102,282.64x = 9,709,621,032.46
  5. Step 5: Solve for x
    x = 9,709,621,032.46/102,282.64
  6. Step 6: Final answer
    x = 94,929.32

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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.