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Finding the Fourth Proportional to 193,402.60, 290,103.90 and 176,781.40

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Solution

The fourth proportional to 193,402.60, 290,103.90 and 176,781.40 is: 265,172.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,402.60 : 290,103.90 = 176,781.40 : x
  2. Step 2: Convert to fraction form
    193,402.60/290,103.90 = 176,781.40/x
  3. Step 3: Cross multiply
    193,402.60x = 290,103.90 × 176,781.40
  4. Step 4: Simplify right side
    193,402.60x = 51,284,973,587.46
  5. Step 5: Solve for x
    x = 51,284,973,587.46/193,402.60
  6. Step 6: Final answer
    x = 265,172.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.