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Finding the Fourth Proportional to 157,460.22, 217,287.24 and 89,468.22

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Solution

The fourth proportional to 157,460.22, 217,287.24 and 89,468.22 is: 123,461.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,460.22 : 217,287.24 = 89,468.22 : x
  2. Step 2: Convert to fraction form
    157,460.22/217,287.24 = 89,468.22/x
  3. Step 3: Cross multiply
    157,460.22x = 217,287.24 × 89,468.22
  4. Step 4: Simplify right side
    157,460.22x = 19,440,302,591.51
  5. Step 5: Solve for x
    x = 19,440,302,591.51/157,460.22
  6. Step 6: Final answer
    x = 123,461.68

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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.