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Finding the Fourth Proportional to 267,547.16, 400,968.66 and 149,274.20

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Solution

The fourth proportional to 267,547.16, 400,968.66 and 149,274.20 is: 223,714.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,547.16 : 400,968.66 = 149,274.20 : x
  2. Step 2: Convert to fraction form
    267,547.16/400,968.66 = 149,274.20/x
  3. Step 3: Cross multiply
    267,547.16x = 400,968.66 × 149,274.20
  4. Step 4: Simplify right side
    267,547.16x = 59,854,275,946.57
  5. Step 5: Solve for x
    x = 59,854,275,946.57/267,547.16
  6. Step 6: Final answer
    x = 223,714.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.