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Finding the Fourth Proportional to 99,396.96, 149,127.84 and 46,811.76

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Solution

The fourth proportional to 99,396.96, 149,127.84 and 46,811.76 is: 70,232.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,396.96 : 149,127.84 = 46,811.76 : x
  2. Step 2: Convert to fraction form
    99,396.96/149,127.84 = 46,811.76/x
  3. Step 3: Cross multiply
    99,396.96x = 149,127.84 × 46,811.76
  4. Step 4: Simplify right side
    99,396.96x = 6,980,936,655.40
  5. Step 5: Solve for x
    x = 6,980,936,655.40/99,396.96
  6. Step 6: Final answer
    x = 70,232.90

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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.