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Finding the Fourth Proportional to 227,391.12, 341,128.80 and 77,623.20

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Solution

The fourth proportional to 227,391.12, 341,128.80 and 77,623.20 is: 116,449.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,391.12 : 341,128.80 = 77,623.20 : x
  2. Step 2: Convert to fraction form
    227,391.12/341,128.80 = 77,623.20/x
  3. Step 3: Cross multiply
    227,391.12x = 341,128.80 × 77,623.20
  4. Step 4: Simplify right side
    227,391.12x = 26,479,509,068.16
  5. Step 5: Solve for x
    x = 26,479,509,068.16/227,391.12
  6. Step 6: Final answer
    x = 116,449.18

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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.