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Finding the Fourth Proportional to 292,106.52, 403,125.66 and 164,735.64

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Solution

The fourth proportional to 292,106.52, 403,125.66 and 164,735.64 is: 227,345.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,106.52 : 403,125.66 = 164,735.64 : x
  2. Step 2: Convert to fraction form
    292,106.52/403,125.66 = 164,735.64/x
  3. Step 3: Cross multiply
    292,106.52x = 403,125.66 × 164,735.64
  4. Step 4: Simplify right side
    292,106.52x = 66,409,163,600.52
  5. Step 5: Solve for x
    x = 66,409,163,600.52/292,106.52
  6. Step 6: Final answer
    x = 227,345.71

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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.