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Finding the Fourth Proportional to 177,803.73, 266,732.12 and 65,475.32

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Solution

The fourth proportional to 177,803.73, 266,732.12 and 65,475.32 is: 98,222.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,803.73 : 266,732.12 = 65,475.32 : x
  2. Step 2: Convert to fraction form
    177,803.73/266,732.12 = 65,475.32/x
  3. Step 3: Cross multiply
    177,803.73x = 266,732.12 × 65,475.32
  4. Step 4: Simplify right side
    177,803.73x = 17,464,369,741.31
  5. Step 5: Solve for x
    x = 17,464,369,741.31/177,803.73
  6. Step 6: Final answer
    x = 98,222.74

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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.