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Finding the Fourth Proportional to 292,032.82, 403,004.73 and 164,708.02

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Solution

The fourth proportional to 292,032.82, 403,004.73 and 164,708.02 is: 227,296.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,032.82 : 403,004.73 = 164,708.02 : x
  2. Step 2: Convert to fraction form
    292,032.82/403,004.73 = 164,708.02/x
  3. Step 3: Cross multiply
    292,032.82x = 403,004.73 × 164,708.02
  4. Step 4: Simplify right side
    292,032.82x = 66,378,111,128.93
  5. Step 5: Solve for x
    x = 66,378,111,128.93/292,032.82
  6. Step 6: Final answer
    x = 227,296.75

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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.