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Finding the Fourth Proportional to 227,483.97, 341,266.06 and 77,689.15

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Solution

The fourth proportional to 227,483.97, 341,266.06 and 77,689.15 is: 116,547.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,483.97 : 341,266.06 = 77,689.15 : x
  2. Step 2: Convert to fraction form
    227,483.97/341,266.06 = 77,689.15/x
  3. Step 3: Cross multiply
    227,483.97x = 341,266.06 × 77,689.15
  4. Step 4: Simplify right side
    227,483.97x = 26,512,669,369.20
  5. Step 5: Solve for x
    x = 26,512,669,369.20/227,483.97
  6. Step 6: Final answer
    x = 116,547.42

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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.