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Finding the Fourth Proportional to 233,213.72, 348,001.72 and 208,081.04

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Solution

The fourth proportional to 233,213.72, 348,001.72 and 208,081.04 is: 310,498.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,213.72 : 348,001.72 = 208,081.04 : x
  2. Step 2: Convert to fraction form
    233,213.72/348,001.72 = 208,081.04/x
  3. Step 3: Cross multiply
    233,213.72x = 348,001.72 × 208,081.04
  4. Step 4: Simplify right side
    233,213.72x = 72,412,558,079.38
  5. Step 5: Solve for x
    x = 72,412,558,079.38/233,213.72
  6. Step 6: Final answer
    x = 310,498.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.