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Finding the Fourth Proportional to 292,111.92, 403,068.60 and 164,784.96

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Solution

The fourth proportional to 292,111.92, 403,068.60 and 164,784.96 is: 227,377.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,111.92 : 403,068.60 = 164,784.96 : x
  2. Step 2: Convert to fraction form
    292,111.92/403,068.60 = 164,784.96/x
  3. Step 3: Cross multiply
    292,111.92x = 403,068.60 × 164,784.96
  4. Step 4: Simplify right side
    292,111.92x = 66,419,643,128.26
  5. Step 5: Solve for x
    x = 66,419,643,128.26/292,111.92
  6. Step 6: Final answer
    x = 227,377.38

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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.