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Finding the Fourth Proportional to 160,357.61, 221,278.48 and 95,814

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Solution

The fourth proportional to 160,357.61, 221,278.48 and 95,814 is: 132,214.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,357.61 : 221,278.48 = 95,814 : x
  2. Step 2: Convert to fraction form
    160,357.61/221,278.48 = 95,814/x
  3. Step 3: Cross multiply
    160,357.61x = 221,278.48 × 95,814
  4. Step 4: Simplify right side
    160,357.61x = 21,201,576,043.19
  5. Step 5: Solve for x
    x = 21,201,576,043.19/160,357.61
  6. Step 6: Final answer
    x = 132,214.34

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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.