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Finding the Fourth Proportional to 127,684.68, 191,609.64 and 57,559.74

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Solution

The fourth proportional to 127,684.68, 191,609.64 and 57,559.74 is: 86,376.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,684.68 : 191,609.64 = 57,559.74 : x
  2. Step 2: Convert to fraction form
    127,684.68/191,609.64 = 57,559.74/x
  3. Step 3: Cross multiply
    127,684.68x = 191,609.64 × 57,559.74
  4. Step 4: Simplify right side
    127,684.68x = 11,029,001,059.89
  5. Step 5: Solve for x
    x = 11,029,001,059.89/127,684.68
  6. Step 6: Final answer
    x = 86,376.85

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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.