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Finding the Fourth Proportional to 157,550.48, 235,770.60 and 98,414

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Solution

The fourth proportional to 157,550.48, 235,770.60 and 98,414 is: 147,274.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,550.48 : 235,770.60 = 98,414 : x
  2. Step 2: Convert to fraction form
    157,550.48/235,770.60 = 98,414/x
  3. Step 3: Cross multiply
    157,550.48x = 235,770.60 × 98,414
  4. Step 4: Simplify right side
    157,550.48x = 23,203,127,828.40
  5. Step 5: Solve for x
    x = 23,203,127,828.40/157,550.48
  6. Step 6: Final answer
    x = 147,274.24

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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.