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Finding the Fourth Proportional to 212,631, 293,430.78 and 117,137.67

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Solution

The fourth proportional to 212,631, 293,430.78 and 117,137.67 is: 161,649.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,631 : 293,430.78 = 117,137.67 : x
  2. Step 2: Convert to fraction form
    212,631/293,430.78 = 117,137.67/x
  3. Step 3: Cross multiply
    212,631x = 293,430.78 × 117,137.67
  4. Step 4: Simplify right side
    212,631x = 34,371,797,875.48
  5. Step 5: Solve for x
    x = 34,371,797,875.48/212,631
  6. Step 6: Final answer
    x = 161,649.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.