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Finding the Fourth Proportional to 157,466.43, 236,341.70 and 106,742.71

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Solution

The fourth proportional to 157,466.43, 236,341.70 and 106,742.71 is: 160,210.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,466.43 : 236,341.70 = 106,742.71 : x
  2. Step 2: Convert to fraction form
    157,466.43/236,341.70 = 106,742.71/x
  3. Step 3: Cross multiply
    157,466.43x = 236,341.70 × 106,742.71
  4. Step 4: Simplify right side
    157,466.43x = 25,227,753,706.01
  5. Step 5: Solve for x
    x = 25,227,753,706.01/157,466.43
  6. Step 6: Final answer
    x = 160,210.36

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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.