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Finding the Fourth Proportional to 212,714.16, 293,547.48 and 117,224.28

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Solution

The fourth proportional to 212,714.16, 293,547.48 and 117,224.28 is: 161,770.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,714.16 : 293,547.48 = 117,224.28 : x
  2. Step 2: Convert to fraction form
    212,714.16/293,547.48 = 117,224.28/x
  3. Step 3: Cross multiply
    212,714.16x = 293,547.48 × 117,224.28
  4. Step 4: Simplify right side
    212,714.16x = 34,410,891,988.81
  5. Step 5: Solve for x
    x = 34,410,891,988.81/212,714.16
  6. Step 6: Final answer
    x = 161,770.58

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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.