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Finding the Fourth Proportional to 157,461.09, 217,302.12 and 89,489.54

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Solution

The fourth proportional to 157,461.09, 217,302.12 and 89,489.54 is: 123,498.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,461.09 : 217,302.12 = 89,489.54 : x
  2. Step 2: Convert to fraction form
    157,461.09/217,302.12 = 89,489.54/x
  3. Step 3: Cross multiply
    157,461.09x = 217,302.12 × 89,489.54
  4. Step 4: Simplify right side
    157,461.09x = 19,446,265,673.31
  5. Step 5: Solve for x
    x = 19,446,265,673.31/157,461.09
  6. Step 6: Final answer
    x = 123,498.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.