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Finding the Fourth Proportional to 288,102.72, 432,200.16 and 121,892.16

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Solution

The fourth proportional to 288,102.72, 432,200.16 and 121,892.16 is: 182,857.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,102.72 : 432,200.16 = 121,892.16 : x
  2. Step 2: Convert to fraction form
    288,102.72/432,200.16 = 121,892.16/x
  3. Step 3: Cross multiply
    288,102.72x = 432,200.16 × 121,892.16
  4. Step 4: Simplify right side
    288,102.72x = 52,681,811,054.75
  5. Step 5: Solve for x
    x = 52,681,811,054.75/288,102.72
  6. Step 6: Final answer
    x = 182,857.74

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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.