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Finding the Fourth Proportional to 212,499.92, 293,257.16 and 117,013.20

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Solution

The fourth proportional to 212,499.92, 293,257.16 and 117,013.20 is: 161,482.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,499.92 : 293,257.16 = 117,013.20 : x
  2. Step 2: Convert to fraction form
    212,499.92/293,257.16 = 117,013.20/x
  3. Step 3: Cross multiply
    212,499.92x = 293,257.16 × 117,013.20
  4. Step 4: Simplify right side
    212,499.92x = 34,314,958,714.51
  5. Step 5: Solve for x
    x = 34,314,958,714.51/212,499.92
  6. Step 6: Final answer
    x = 161,482.22

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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.