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Finding the Fourth Proportional to 99,817.60, 149,726.40 and 97,849.30

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Solution

The fourth proportional to 99,817.60, 149,726.40 and 97,849.30 is: 146,773.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,817.60 : 149,726.40 = 97,849.30 : x
  2. Step 2: Convert to fraction form
    99,817.60/149,726.40 = 97,849.30/x
  3. Step 3: Cross multiply
    99,817.60x = 149,726.40 × 97,849.30
  4. Step 4: Simplify right side
    99,817.60x = 14,650,623,431.52
  5. Step 5: Solve for x
    x = 14,650,623,431.52/99,817.60
  6. Step 6: Final answer
    x = 146,773.95

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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.