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Finding the Fourth Proportional to 210,029.70, 315,008.10 and 76,841.40

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Solution

The fourth proportional to 210,029.70, 315,008.10 and 76,841.40 is: 115,248.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,029.70 : 315,008.10 = 76,841.40 : x
  2. Step 2: Convert to fraction form
    210,029.70/315,008.10 = 76,841.40/x
  3. Step 3: Cross multiply
    210,029.70x = 315,008.10 × 76,841.40
  4. Step 4: Simplify right side
    210,029.70x = 24,205,663,415.34
  5. Step 5: Solve for x
    x = 24,205,663,415.34/210,029.70
  6. Step 6: Final answer
    x = 115,248.76

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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.