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Finding the Fourth Proportional to 656,796, 985,194.24 and 158,160

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Solution

The fourth proportional to 656,796, 985,194.24 and 158,160 is: 237,240.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,796 : 985,194.24 = 158,160 : x
  2. Step 2: Convert to fraction form
    656,796/985,194.24 = 158,160/x
  3. Step 3: Cross multiply
    656,796x = 985,194.24 × 158,160
  4. Step 4: Simplify right side
    656,796x = 155,818,320,998.40
  5. Step 5: Solve for x
    x = 155,818,320,998.40/656,796
  6. Step 6: Final answer
    x = 237,240.06

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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.