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Finding the Fourth Proportional to 146,376.54, 201,921.71 and 89,033.40

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Solution

The fourth proportional to 146,376.54, 201,921.71 and 89,033.40 is: 122,818.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,376.54 : 201,921.71 = 89,033.40 : x
  2. Step 2: Convert to fraction form
    146,376.54/201,921.71 = 89,033.40/x
  3. Step 3: Cross multiply
    146,376.54x = 201,921.71 × 89,033.40
  4. Step 4: Simplify right side
    146,376.54x = 17,977,776,375.11
  5. Step 5: Solve for x
    x = 17,977,776,375.11/146,376.54
  6. Step 6: Final answer
    x = 122,818.70

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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.