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Finding the Fourth Proportional to 177,754.50, 266,631.75 and 53,095.50

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Solution

The fourth proportional to 177,754.50, 266,631.75 and 53,095.50 is: 79,643.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,754.50 : 266,631.75 = 53,095.50 : x
  2. Step 2: Convert to fraction form
    177,754.50/266,631.75 = 53,095.50/x
  3. Step 3: Cross multiply
    177,754.50x = 266,631.75 × 53,095.50
  4. Step 4: Simplify right side
    177,754.50x = 14,156,946,082.13
  5. Step 5: Solve for x
    x = 14,156,946,082.13/177,754.50
  6. Step 6: Final answer
    x = 79,643.25

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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.