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Finding the Fourth Proportional to 133,060.88, 199,646.12 and 97,702.76

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Solution

The fourth proportional to 133,060.88, 199,646.12 and 97,702.76 is: 146,594.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,060.88 : 199,646.12 = 97,702.76 : x
  2. Step 2: Convert to fraction form
    133,060.88/199,646.12 = 97,702.76/x
  3. Step 3: Cross multiply
    133,060.88x = 199,646.12 × 97,702.76
  4. Step 4: Simplify right side
    133,060.88x = 19,505,976,193.32
  5. Step 5: Solve for x
    x = 19,505,976,193.32/133,060.88
  6. Step 6: Final answer
    x = 146,594.38

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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.