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Finding the Fourth Proportional to 201,043.68, 277,429.50 and 110,382

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Solution

The fourth proportional to 201,043.68, 277,429.50 and 110,382 is: 152,321.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,043.68 : 277,429.50 = 110,382 : x
  2. Step 2: Convert to fraction form
    201,043.68/277,429.50 = 110,382/x
  3. Step 3: Cross multiply
    201,043.68x = 277,429.50 × 110,382
  4. Step 4: Simplify right side
    201,043.68x = 30,623,223,069
  5. Step 5: Solve for x
    x = 30,623,223,069/201,043.68
  6. Step 6: Final answer
    x = 152,321.24

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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.