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Finding the Fourth Proportional to 292,023.64, 403,078.81 and 171,191.08

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Solution

The fourth proportional to 292,023.64, 403,078.81 and 171,191.08 is: 236,294.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,023.64 : 403,078.81 = 171,191.08 : x
  2. Step 2: Convert to fraction form
    292,023.64/403,078.81 = 171,191.08/x
  3. Step 3: Cross multiply
    292,023.64x = 403,078.81 × 171,191.08
  4. Step 4: Simplify right side
    292,023.64x = 69,003,495,373.34
  5. Step 5: Solve for x
    x = 69,003,495,373.34/292,023.64
  6. Step 6: Final answer
    x = 236,294.21

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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.