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Finding the Fourth Proportional to 233,129.09, 349,693.64 and 154,224.86

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Solution

The fourth proportional to 233,129.09, 349,693.64 and 154,224.86 is: 231,337.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,129.09 : 349,693.64 = 154,224.86 : x
  2. Step 2: Convert to fraction form
    233,129.09/349,693.64 = 154,224.86/x
  3. Step 3: Cross multiply
    233,129.09x = 349,693.64 × 154,224.86
  4. Step 4: Simplify right side
    233,129.09x = 53,931,450,152.30
  5. Step 5: Solve for x
    x = 53,931,450,152.30/233,129.09
  6. Step 6: Final answer
    x = 231,337.29

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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.