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Finding the Fourth Proportional to 156,649.40, 216,288.54 and 96,301

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Solution

The fourth proportional to 156,649.40, 216,288.54 and 96,301 is: 132,964.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,649.40 : 216,288.54 = 96,301 : x
  2. Step 2: Convert to fraction form
    156,649.40/216,288.54 = 96,301/x
  3. Step 3: Cross multiply
    156,649.40x = 216,288.54 × 96,301
  4. Step 4: Simplify right side
    156,649.40x = 20,828,802,690.54
  5. Step 5: Solve for x
    x = 20,828,802,690.54/156,649.40
  6. Step 6: Final answer
    x = 132,964.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.