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Finding the Fourth Proportional to 116,259.84, 160,397.34 and 75,996.84

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Solution

The fourth proportional to 116,259.84, 160,397.34 and 75,996.84 is: 104,848.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,259.84 : 160,397.34 = 75,996.84 : x
  2. Step 2: Convert to fraction form
    116,259.84/160,397.34 = 75,996.84/x
  3. Step 3: Cross multiply
    116,259.84x = 160,397.34 × 75,996.84
  4. Step 4: Simplify right side
    116,259.84x = 12,189,690,984.41
  5. Step 5: Solve for x
    x = 12,189,690,984.41/116,259.84
  6. Step 6: Final answer
    x = 104,848.68

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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.