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Finding the Fourth Proportional to 212,808.16, 293,676.15 and 117,312.76

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Solution

The fourth proportional to 212,808.16, 293,676.15 and 117,312.76 is: 161,892.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,808.16 : 293,676.15 = 117,312.76 : x
  2. Step 2: Convert to fraction form
    212,808.16/293,676.15 = 117,312.76/x
  3. Step 3: Cross multiply
    212,808.16x = 293,676.15 × 117,312.76
  4. Step 4: Simplify right side
    212,808.16x = 34,451,959,702.67
  5. Step 5: Solve for x
    x = 34,451,959,702.67/212,808.16
  6. Step 6: Final answer
    x = 161,892.10

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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.