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Finding the Fourth Proportional to 99,314, 148,941.84 and 29,176.64

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Solution

The fourth proportional to 99,314, 148,941.84 and 29,176.64 is: 43,756.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,314 : 148,941.84 = 29,176.64 : x
  2. Step 2: Convert to fraction form
    99,314/148,941.84 = 29,176.64/x
  3. Step 3: Cross multiply
    99,314x = 148,941.84 × 29,176.64
  4. Step 4: Simplify right side
    99,314x = 4,345,622,446.62
  5. Step 5: Solve for x
    x = 4,345,622,446.62/99,314
  6. Step 6: Final answer
    x = 43,756.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.