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Finding the Fourth Proportional to 107,916.84, 148,936.32 and 64,910.16

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Solution

The fourth proportional to 107,916.84, 148,936.32 and 64,910.16 is: 89,582.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,916.84 : 148,936.32 = 64,910.16 : x
  2. Step 2: Convert to fraction form
    107,916.84/148,936.32 = 64,910.16/x
  3. Step 3: Cross multiply
    107,916.84x = 148,936.32 × 64,910.16
  4. Step 4: Simplify right side
    107,916.84x = 9,667,480,361.01
  5. Step 5: Solve for x
    x = 9,667,480,361.01/107,916.84
  6. Step 6: Final answer
    x = 89,582.69

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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.