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Finding the Fourth Proportional to 152,097.48, 228,185.10 and 63,321.48

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Solution

The fourth proportional to 152,097.48, 228,185.10 and 63,321.48 is: 94,998.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,097.48 : 228,185.10 = 63,321.48 : x
  2. Step 2: Convert to fraction form
    152,097.48/228,185.10 = 63,321.48/x
  3. Step 3: Cross multiply
    152,097.48x = 228,185.10 × 63,321.48
  4. Step 4: Simplify right side
    152,097.48x = 14,449,018,245.95
  5. Step 5: Solve for x
    x = 14,449,018,245.95/152,097.48
  6. Step 6: Final answer
    x = 94,998.41

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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.