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Finding the Fourth Proportional to 133,714.79, 200,437.42 and 83,829.93

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Solution

The fourth proportional to 133,714.79, 200,437.42 and 83,829.93 is: 125,660.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,714.79 : 200,437.42 = 83,829.93 : x
  2. Step 2: Convert to fraction form
    133,714.79/200,437.42 = 83,829.93/x
  3. Step 3: Cross multiply
    133,714.79x = 200,437.42 × 83,829.93
  4. Step 4: Simplify right side
    133,714.79x = 16,802,654,887.98
  5. Step 5: Solve for x
    x = 16,802,654,887.98/133,714.79
  6. Step 6: Final answer
    x = 125,660.41

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1.5x scale

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.