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Finding the Fourth Proportional to 98,015.67, 146,830.86 and 64,633.95

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Solution

The fourth proportional to 98,015.67, 146,830.86 and 64,633.95 is: 96,823.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,015.67 : 146,830.86 = 64,633.95 : x
  2. Step 2: Convert to fraction form
    98,015.67/146,830.86 = 64,633.95/x
  3. Step 3: Cross multiply
    98,015.67x = 146,830.86 × 64,633.95
  4. Step 4: Simplify right side
    98,015.67x = 9,490,258,463.70
  5. Step 5: Solve for x
    x = 9,490,258,463.70/98,015.67
  6. Step 6: Final answer
    x = 96,823.89

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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.