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Finding the Fourth Proportional to 255,229.56, 382,899.96 and 97,503.12

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Solution

The fourth proportional to 255,229.56, 382,899.96 and 97,503.12 is: 146,275.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,229.56 : 382,899.96 = 97,503.12 : x
  2. Step 2: Convert to fraction form
    255,229.56/382,899.96 = 97,503.12/x
  3. Step 3: Cross multiply
    255,229.56x = 382,899.96 × 97,503.12
  4. Step 4: Simplify right side
    255,229.56x = 37,333,940,747.88
  5. Step 5: Solve for x
    x = 37,333,940,747.88/255,229.56
  6. Step 6: Final answer
    x = 146,275.93

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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.