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Finding the Fourth Proportional to 292,033.82, 403,006.10 and 164,709.02

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Solution

The fourth proportional to 292,033.82, 403,006.10 and 164,709.02 is: 227,298.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,033.82 : 403,006.10 = 164,709.02 : x
  2. Step 2: Convert to fraction form
    292,033.82/403,006.10 = 164,709.02/x
  3. Step 3: Cross multiply
    292,033.82x = 403,006.10 × 164,709.02
  4. Step 4: Simplify right side
    292,033.82x = 66,378,739,785.02
  5. Step 5: Solve for x
    x = 66,378,739,785.02/292,033.82
  6. Step 6: Final answer
    x = 227,298.13

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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.