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Finding the Fourth Proportional to 291,952.31, 402,825.26 and 164,603.30

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Solution

The fourth proportional to 291,952.31, 402,825.26 and 164,603.30 is: 227,113.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,952.31 : 402,825.26 = 164,603.30 : x
  2. Step 2: Convert to fraction form
    291,952.31/402,825.26 = 164,603.30/x
  3. Step 3: Cross multiply
    291,952.31x = 402,825.26 × 164,603.30
  4. Step 4: Simplify right side
    291,952.31x = 66,306,366,296.34
  5. Step 5: Solve for x
    x = 66,306,366,296.34/291,952.31
  6. Step 6: Final answer
    x = 227,113.69

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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.