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Finding the Fourth Proportional to 293,174.86, 404,582.08 and 159,038.86

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Solution

The fourth proportional to 293,174.86, 404,582.08 and 159,038.86 is: 219,474.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,174.86 : 404,582.08 = 159,038.86 : x
  2. Step 2: Convert to fraction form
    293,174.86/404,582.08 = 159,038.86/x
  3. Step 3: Cross multiply
    293,174.86x = 404,582.08 × 159,038.86
  4. Step 4: Simplify right side
    293,174.86x = 64,344,272,779.63
  5. Step 5: Solve for x
    x = 64,344,272,779.63/293,174.86
  6. Step 6: Final answer
    x = 219,474.05

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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.