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Finding the Fourth Proportional to 101,609.83, 152,386.80 and 56,575.86

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Solution

The fourth proportional to 101,609.83, 152,386.80 and 56,575.86 is: 84,848.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,609.83 : 152,386.80 = 56,575.86 : x
  2. Step 2: Convert to fraction form
    101,609.83/152,386.80 = 56,575.86/x
  3. Step 3: Cross multiply
    101,609.83x = 152,386.80 × 56,575.86
  4. Step 4: Simplify right side
    101,609.83x = 8,621,414,262.65
  5. Step 5: Solve for x
    x = 8,621,414,262.65/101,609.83
  6. Step 6: Final answer
    x = 84,848.23

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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.