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Finding the Fourth Proportional to 228,985.20, 343,412.16 and 77,165.74

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Solution

The fourth proportional to 228,985.20, 343,412.16 and 77,165.74 is: 115,726.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,985.20 : 343,412.16 = 77,165.74 : x
  2. Step 2: Convert to fraction form
    228,985.20/343,412.16 = 77,165.74/x
  3. Step 3: Cross multiply
    228,985.20x = 343,412.16 × 77,165.74
  4. Step 4: Simplify right side
    228,985.20x = 26,499,653,451.40
  5. Step 5: Solve for x
    x = 26,499,653,451.40/228,985.20
  6. Step 6: Final answer
    x = 115,726.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.