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Finding the Fourth Proportional to 116,212.76, 160,400.96 and 70,928.20

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Solution

The fourth proportional to 116,212.76, 160,400.96 and 70,928.20 is: 97,897.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,212.76 : 160,400.96 = 70,928.20 : x
  2. Step 2: Convert to fraction form
    116,212.76/160,400.96 = 70,928.20/x
  3. Step 3: Cross multiply
    116,212.76x = 160,400.96 × 70,928.20
  4. Step 4: Simplify right side
    116,212.76x = 11,376,951,371.07
  5. Step 5: Solve for x
    x = 11,376,951,371.07/116,212.76
  6. Step 6: Final answer
    x = 97,897.61

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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.