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Finding the Fourth Proportional to 272,275.70, 375,686.64 and 164,855.66

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Solution

The fourth proportional to 272,275.70, 375,686.64 and 164,855.66 is: 227,468.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,275.70 : 375,686.64 = 164,855.66 : x
  2. Step 2: Convert to fraction form
    272,275.70/375,686.64 = 164,855.66/x
  3. Step 3: Cross multiply
    272,275.70x = 375,686.64 × 164,855.66
  4. Step 4: Simplify right side
    272,275.70x = 61,934,067,111.95
  5. Step 5: Solve for x
    x = 61,934,067,111.95/272,275.70
  6. Step 6: Final answer
    x = 227,468.22

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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.