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Finding the Fourth Proportional to 212,810.49, 293,676.50 and 116,014.35

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Solution

The fourth proportional to 212,810.49, 293,676.50 and 116,014.35 is: 160,098.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,810.49 : 293,676.50 = 116,014.35 : x
  2. Step 2: Convert to fraction form
    212,810.49/293,676.50 = 116,014.35/x
  3. Step 3: Cross multiply
    212,810.49x = 293,676.50 × 116,014.35
  4. Step 4: Simplify right side
    212,810.49x = 34,070,687,677.70
  5. Step 5: Solve for x
    x = 34,070,687,677.70/212,810.49
  6. Step 6: Final answer
    x = 160,098.72

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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.