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Finding the Fourth Proportional to 368,428.24, 552,642.34 and 102,188.80

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Solution

The fourth proportional to 368,428.24, 552,642.34 and 102,188.80 is: 153,283.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,428.24 : 552,642.34 = 102,188.80 : x
  2. Step 2: Convert to fraction form
    368,428.24/552,642.34 = 102,188.80/x
  3. Step 3: Cross multiply
    368,428.24x = 552,642.34 × 102,188.80
  4. Step 4: Simplify right side
    368,428.24x = 56,473,857,553.79
  5. Step 5: Solve for x
    x = 56,473,857,553.79/368,428.24
  6. Step 6: Final answer
    x = 153,283.19

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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.