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Finding the Fourth Proportional to 242,796.96, 335,002.08 and 147,301.20

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Solution

The fourth proportional to 242,796.96, 335,002.08 and 147,301.20 is: 203,240.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,796.96 : 335,002.08 = 147,301.20 : x
  2. Step 2: Convert to fraction form
    242,796.96/335,002.08 = 147,301.20/x
  3. Step 3: Cross multiply
    242,796.96x = 335,002.08 × 147,301.20
  4. Step 4: Simplify right side
    242,796.96x = 49,346,208,386.50
  5. Step 5: Solve for x
    x = 49,346,208,386.50/242,796.96
  6. Step 6: Final answer
    x = 203,240.64

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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.