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Finding the Fourth Proportional to 210,031.69, 315,110.10 and 97,778.24

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Solution

The fourth proportional to 210,031.69, 315,110.10 and 97,778.24 is: 146,696.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,031.69 : 315,110.10 = 97,778.24 : x
  2. Step 2: Convert to fraction form
    210,031.69/315,110.10 = 97,778.24/x
  3. Step 3: Cross multiply
    210,031.69x = 315,110.10 × 97,778.24
  4. Step 4: Simplify right side
    210,031.69x = 30,810,910,984.22
  5. Step 5: Solve for x
    x = 30,810,910,984.22/210,031.69
  6. Step 6: Final answer
    x = 146,696.49

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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.