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Finding the Fourth Proportional to 178,082.40, 266,896.80 and 72,782.40

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Solution

The fourth proportional to 178,082.40, 266,896.80 and 72,782.40 is: 109,080.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,082.40 : 266,896.80 = 72,782.40 : x
  2. Step 2: Convert to fraction form
    178,082.40/266,896.80 = 72,782.40/x
  3. Step 3: Cross multiply
    178,082.40x = 266,896.80 × 72,782.40
  4. Step 4: Simplify right side
    178,082.40x = 19,425,389,656.32
  5. Step 5: Solve for x
    x = 19,425,389,656.32/178,082.40
  6. Step 6: Final answer
    x = 109,080.91

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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.