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Finding the Fourth Proportional to 243,004.08, 335,345.88 and 142,402

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Solution

The fourth proportional to 243,004.08, 335,345.88 and 142,402 is: 196,514.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,004.08 : 335,345.88 = 142,402 : x
  2. Step 2: Convert to fraction form
    243,004.08/335,345.88 = 142,402/x
  3. Step 3: Cross multiply
    243,004.08x = 335,345.88 × 142,402
  4. Step 4: Simplify right side
    243,004.08x = 47,753,924,003.76
  5. Step 5: Solve for x
    x = 47,753,924,003.76/243,004.08
  6. Step 6: Final answer
    x = 196,514.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.