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Finding the Fourth Proportional to 99,803.40, 137,751.84 and 65,817.96

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Solution

The fourth proportional to 99,803.40, 137,751.84 and 65,817.96 is: 90,844.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,803.40 : 137,751.84 = 65,817.96 : x
  2. Step 2: Convert to fraction form
    99,803.40/137,751.84 = 65,817.96/x
  3. Step 3: Cross multiply
    99,803.40x = 137,751.84 × 65,817.96
  4. Step 4: Simplify right side
    99,803.40x = 9,066,545,095.05
  5. Step 5: Solve for x
    x = 9,066,545,095.05/99,803.40
  6. Step 6: Final answer
    x = 90,844.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.