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Finding the Fourth Proportional to 201,461.52, 303,391.40 and 175,480

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Solution

The fourth proportional to 201,461.52, 303,391.40 and 175,480 is: 264,264.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,461.52 : 303,391.40 = 175,480 : x
  2. Step 2: Convert to fraction form
    201,461.52/303,391.40 = 175,480/x
  3. Step 3: Cross multiply
    201,461.52x = 303,391.40 × 175,480
  4. Step 4: Simplify right side
    201,461.52x = 53,239,122,872.00
  5. Step 5: Solve for x
    x = 53,239,122,872.00/201,461.52
  6. Step 6: Final answer
    x = 264,264.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.