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Finding the Fourth Proportional to 227,369.61, 341,089.45 and 77,574.98

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Solution

The fourth proportional to 227,369.61, 341,089.45 and 77,574.98 is: 116,374.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,369.61 : 341,089.45 = 77,574.98 : x
  2. Step 2: Convert to fraction form
    227,369.61/341,089.45 = 77,574.98/x
  3. Step 3: Cross multiply
    227,369.61x = 341,089.45 × 77,574.98
  4. Step 4: Simplify right side
    227,369.61x = 26,460,007,920.75
  5. Step 5: Solve for x
    x = 26,460,007,920.75/227,369.61
  6. Step 6: Final answer
    x = 116,374.43

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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.