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Finding the Fourth Proportional to 146,646.17, 202,371.71 and 79,578.17

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Solution

The fourth proportional to 146,646.17, 202,371.71 and 79,578.17 is: 109,817.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,646.17 : 202,371.71 = 79,578.17 : x
  2. Step 2: Convert to fraction form
    146,646.17/202,371.71 = 79,578.17/x
  3. Step 3: Cross multiply
    146,646.17x = 202,371.71 × 79,578.17
  4. Step 4: Simplify right side
    146,646.17x = 16,104,368,931.82
  5. Step 5: Solve for x
    x = 16,104,368,931.82/146,646.17
  6. Step 6: Final answer
    x = 109,817.87

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Why These Related Problems?

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