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Finding the Fourth Proportional to 212,943.84, 293,863.32 and 117,449.16

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Solution

The fourth proportional to 212,943.84, 293,863.32 and 117,449.16 is: 162,080.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,943.84 : 293,863.32 = 117,449.16 : x
  2. Step 2: Convert to fraction form
    212,943.84/293,863.32 = 117,449.16/x
  3. Step 3: Cross multiply
    212,943.84x = 293,863.32 × 117,449.16
  4. Step 4: Simplify right side
    212,943.84x = 34,514,000,088.81
  5. Step 5: Solve for x
    x = 34,514,000,088.81/212,943.84
  6. Step 6: Final answer
    x = 162,080.29

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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.