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Finding the Fourth Proportional to 229,062.96, 343,428.30 and 153,997.02

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Solution

The fourth proportional to 229,062.96, 343,428.30 and 153,997.02 is: 230,883.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,062.96 : 343,428.30 = 153,997.02 : x
  2. Step 2: Convert to fraction form
    229,062.96/343,428.30 = 153,997.02/x
  3. Step 3: Cross multiply
    229,062.96x = 343,428.30 × 153,997.02
  4. Step 4: Simplify right side
    229,062.96x = 52,886,934,783.67
  5. Step 5: Solve for x
    x = 52,886,934,783.67/229,062.96
  6. Step 6: Final answer
    x = 230,883.84

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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.