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Finding the Fourth Proportional to 97,863.67, 146,690.55 and 64,116.93

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Solution

The fourth proportional to 97,863.67, 146,690.55 and 64,116.93 is: 96,106.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,863.67 : 146,690.55 = 64,116.93 : x
  2. Step 2: Convert to fraction form
    97,863.67/146,690.55 = 64,116.93/x
  3. Step 3: Cross multiply
    97,863.67x = 146,690.55 × 64,116.93
  4. Step 4: Simplify right side
    97,863.67x = 9,405,347,731.53
  5. Step 5: Solve for x
    x = 9,405,347,731.53/97,863.67
  6. Step 6: Final answer
    x = 96,106.64

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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.