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Finding the Fourth Proportional to 103,464.86, 155,394.12 and 64,295.68

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Solution

The fourth proportional to 103,464.86, 155,394.12 and 64,295.68 is: 96,565.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,464.86 : 155,394.12 = 64,295.68 : x
  2. Step 2: Convert to fraction form
    103,464.86/155,394.12 = 64,295.68/x
  3. Step 3: Cross multiply
    103,464.86x = 155,394.12 × 64,295.68
  4. Step 4: Simplify right side
    103,464.86x = 9,991,170,613.40
  5. Step 5: Solve for x
    x = 9,991,170,613.40/103,464.86
  6. Step 6: Final answer
    x = 96,565.84

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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.