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Finding the Fourth Proportional to 292,107.52, 403,127.04 and 164,736.64

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Solution

The fourth proportional to 292,107.52, 403,127.04 and 164,736.64 is: 227,347.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,107.52 : 403,127.04 = 164,736.64 : x
  2. Step 2: Convert to fraction form
    292,107.52/403,127.04 = 164,736.64/x
  3. Step 3: Cross multiply
    292,107.52x = 403,127.04 × 164,736.64
  4. Step 4: Simplify right side
    292,107.52x = 66,409,794,062.75
  5. Step 5: Solve for x
    x = 66,409,794,062.75/292,107.52
  6. Step 6: Final answer
    x = 227,347.09

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1.5x scale

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.