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Finding the Fourth Proportional to 202,702.47, 304,090.76 and 67,753.77

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Solution

The fourth proportional to 202,702.47, 304,090.76 and 67,753.77 is: 101,643.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,702.47 : 304,090.76 = 67,753.77 : x
  2. Step 2: Convert to fraction form
    202,702.47/304,090.76 = 67,753.77/x
  3. Step 3: Cross multiply
    202,702.47x = 304,090.76 × 67,753.77
  4. Step 4: Simplify right side
    202,702.47x = 20,603,295,073.40
  5. Step 5: Solve for x
    x = 20,603,295,073.40/202,702.47
  6. Step 6: Final answer
    x = 101,643.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.