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Finding the Fourth Proportional to 210,889.96, 316,301.46 and 98,648.08

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Solution

The fourth proportional to 210,889.96, 316,301.46 and 98,648.08 is: 147,956.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,889.96 : 316,301.46 = 98,648.08 : x
  2. Step 2: Convert to fraction form
    210,889.96/316,301.46 = 98,648.08/x
  3. Step 3: Cross multiply
    210,889.96x = 316,301.46 × 98,648.08
  4. Step 4: Simplify right side
    210,889.96x = 31,202,531,730.20
  5. Step 5: Solve for x
    x = 31,202,531,730.20/210,889.96
  6. Step 6: Final answer
    x = 147,956.46

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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.