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Finding the Fourth Proportional to 210,042.20, 315,063.30 and 76,878.20

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Solution

The fourth proportional to 210,042.20, 315,063.30 and 76,878.20 is: 115,317.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,042.20 : 315,063.30 = 76,878.20 : x
  2. Step 2: Convert to fraction form
    210,042.20/315,063.30 = 76,878.20/x
  3. Step 3: Cross multiply
    210,042.20x = 315,063.30 × 76,878.20
  4. Step 4: Simplify right side
    210,042.20x = 24,221,499,390.06
  5. Step 5: Solve for x
    x = 24,221,499,390.06/210,042.20
  6. Step 6: Final answer
    x = 115,317.30

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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.