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Finding the Fourth Proportional to 217,575.76, 326,457.24 and 117,807.26

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Solution

The fourth proportional to 217,575.76, 326,457.24 and 117,807.26 is: 176,761.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,575.76 : 326,457.24 = 117,807.26 : x
  2. Step 2: Convert to fraction form
    217,575.76/326,457.24 = 117,807.26/x
  3. Step 3: Cross multiply
    217,575.76x = 326,457.24 × 117,807.26
  4. Step 4: Simplify right side
    217,575.76x = 38,459,032,951.56
  5. Step 5: Solve for x
    x = 38,459,032,951.56/217,575.76
  6. Step 6: Final answer
    x = 176,761.57

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1.5x scale

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.