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Finding the Fourth Proportional to 99,823.95, 149,765.94 and 59,886.90

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Solution

The fourth proportional to 99,823.95, 149,765.94 and 59,886.90 is: 89,848.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,823.95 : 149,765.94 = 59,886.90 : x
  2. Step 2: Convert to fraction form
    99,823.95/149,765.94 = 59,886.90/x
  3. Step 3: Cross multiply
    99,823.95x = 149,765.94 × 59,886.90
  4. Step 4: Simplify right side
    99,823.95x = 8,969,017,872.19
  5. Step 5: Solve for x
    x = 8,969,017,872.19/99,823.95
  6. Step 6: Final answer
    x = 89,848.36

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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.