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Finding the Fourth Proportional to 210,494.48, 315,741.72 and 85,845.20

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Solution

The fourth proportional to 210,494.48, 315,741.72 and 85,845.20 is: 128,767.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,494.48 : 315,741.72 = 85,845.20 : x
  2. Step 2: Convert to fraction form
    210,494.48/315,741.72 = 85,845.20/x
  3. Step 3: Cross multiply
    210,494.48x = 315,741.72 × 85,845.20
  4. Step 4: Simplify right side
    210,494.48x = 27,104,911,101.74
  5. Step 5: Solve for x
    x = 27,104,911,101.74/210,494.48
  6. Step 6: Final answer
    x = 128,767.80

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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.