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Finding the Fourth Proportional to 210,891.96, 316,304.46 and 98,650.08

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Solution

The fourth proportional to 210,891.96, 316,304.46 and 98,650.08 is: 147,959.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,891.96 : 316,304.46 = 98,650.08 : x
  2. Step 2: Convert to fraction form
    210,891.96/316,304.46 = 98,650.08/x
  3. Step 3: Cross multiply
    210,891.96x = 316,304.46 × 98,650.08
  4. Step 4: Simplify right side
    210,891.96x = 31,203,460,283.36
  5. Step 5: Solve for x
    x = 31,203,460,283.36/210,891.96
  6. Step 6: Final answer
    x = 147,959.46

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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.