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Finding the Fourth Proportional to 147,022.84, 202,816.72 and 96,065.40

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Solution

The fourth proportional to 147,022.84, 202,816.72 and 96,065.40 is: 132,521.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,022.84 : 202,816.72 = 96,065.40 : x
  2. Step 2: Convert to fraction form
    147,022.84/202,816.72 = 96,065.40/x
  3. Step 3: Cross multiply
    147,022.84x = 202,816.72 × 96,065.40
  4. Step 4: Simplify right side
    147,022.84x = 19,483,669,333.49
  5. Step 5: Solve for x
    x = 19,483,669,333.49/147,022.84
  6. Step 6: Final answer
    x = 132,521.38

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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.