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Finding the Fourth Proportional to 147,825.96, 203,996.70 and 84,162.84

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Solution

The fourth proportional to 147,825.96, 203,996.70 and 84,162.84 is: 116,142.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,825.96 : 203,996.70 = 84,162.84 : x
  2. Step 2: Convert to fraction form
    147,825.96/203,996.70 = 84,162.84/x
  3. Step 3: Cross multiply
    147,825.96x = 203,996.70 × 84,162.84
  4. Step 4: Simplify right side
    147,825.96x = 17,168,941,622.63
  5. Step 5: Solve for x
    x = 17,168,941,622.63/147,825.96
  6. Step 6: Final answer
    x = 116,142.94

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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.