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Finding the Fourth Proportional to 103,295.16, 154,551.72 and 61,197.84

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Solution

The fourth proportional to 103,295.16, 154,551.72 and 61,197.84 is: 91,565.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,295.16 : 154,551.72 = 61,197.84 : x
  2. Step 2: Convert to fraction form
    103,295.16/154,551.72 = 61,197.84/x
  3. Step 3: Cross multiply
    103,295.16x = 154,551.72 × 61,197.84
  4. Step 4: Simplify right side
    103,295.16x = 9,458,231,432.28
  5. Step 5: Solve for x
    x = 9,458,231,432.28/103,295.16
  6. Step 6: Final answer
    x = 91,565.10

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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.