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Finding the Fourth Proportional to 153,490.86, 230,291.37 and 53,678.52

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Solution

The fourth proportional to 153,490.86, 230,291.37 and 53,678.52 is: 80,537.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,490.86 : 230,291.37 = 53,678.52 : x
  2. Step 2: Convert to fraction form
    153,490.86/230,291.37 = 53,678.52/x
  3. Step 3: Cross multiply
    153,490.86x = 230,291.37 × 53,678.52
  4. Step 4: Simplify right side
    153,490.86x = 12,361,699,910.37
  5. Step 5: Solve for x
    x = 12,361,699,910.37/153,490.86
  6. Step 6: Final answer
    x = 80,537.04

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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.