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Finding the Fourth Proportional to 114,977.80, 172,466.70 and 97,481.80

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Solution

The fourth proportional to 114,977.80, 172,466.70 and 97,481.80 is: 146,222.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,977.80 : 172,466.70 = 97,481.80 : x
  2. Step 2: Convert to fraction form
    114,977.80/172,466.70 = 97,481.80/x
  3. Step 3: Cross multiply
    114,977.80x = 172,466.70 × 97,481.80
  4. Step 4: Simplify right side
    114,977.80x = 16,812,364,356.06
  5. Step 5: Solve for x
    x = 16,812,364,356.06/114,977.80
  6. Step 6: Final answer
    x = 146,222.70

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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.