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Finding the Fourth Proportional to 210,826.48, 316,343.60 and 98,514.46

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Solution

The fourth proportional to 210,826.48, 316,343.60 and 98,514.46 is: 147,820.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,826.48 : 316,343.60 = 98,514.46 : x
  2. Step 2: Convert to fraction form
    210,826.48/316,343.60 = 98,514.46/x
  3. Step 3: Cross multiply
    210,826.48x = 316,343.60 × 98,514.46
  4. Step 4: Simplify right side
    210,826.48x = 31,164,418,383.88
  5. Step 5: Solve for x
    x = 31,164,418,383.88/210,826.48
  6. Step 6: Final answer
    x = 147,820.23

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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.