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Finding the Fourth Proportional to 246,188.89, 369,283.29 and 77,827.42

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Solution

The fourth proportional to 246,188.89, 369,283.29 and 77,827.42 is: 116,741.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,188.89 : 369,283.29 = 77,827.42 : x
  2. Step 2: Convert to fraction form
    246,188.89/369,283.29 = 77,827.42/x
  3. Step 3: Cross multiply
    246,188.89x = 369,283.29 × 77,827.42
  4. Step 4: Simplify right side
    246,188.89x = 28,740,365,709.81
  5. Step 5: Solve for x
    x = 28,740,365,709.81/246,188.89
  6. Step 6: Final answer
    x = 116,741.12

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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.