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Finding the Fourth Proportional to 145,074.88, 217,652.96 and 51,590.08

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Solution

The fourth proportional to 145,074.88, 217,652.96 and 51,590.08 is: 77,399.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,074.88 : 217,652.96 = 51,590.08 : x
  2. Step 2: Convert to fraction form
    145,074.88/217,652.96 = 51,590.08/x
  3. Step 3: Cross multiply
    145,074.88x = 217,652.96 × 51,590.08
  4. Step 4: Simplify right side
    145,074.88x = 11,228,733,618.64
  5. Step 5: Solve for x
    x = 11,228,733,618.64/145,074.88
  6. Step 6: Final answer
    x = 77,399.57

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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.