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Finding the Fourth Proportional to 368,254.24, 552,291.60 and 102,007.84

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Solution

The fourth proportional to 368,254.24, 552,291.60 and 102,007.84 is: 152,986.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,254.24 : 552,291.60 = 102,007.84 : x
  2. Step 2: Convert to fraction form
    368,254.24/552,291.60 = 102,007.84/x
  3. Step 3: Cross multiply
    368,254.24x = 552,291.60 × 102,007.84
  4. Step 4: Simplify right side
    368,254.24x = 56,338,073,166.14
  5. Step 5: Solve for x
    x = 56,338,073,166.14/368,254.24
  6. Step 6: Final answer
    x = 152,986.90

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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.