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Finding the Fourth Proportional to 109,243.32, 163,825.32 and 38,146

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Solution

The fourth proportional to 109,243.32, 163,825.32 and 38,146 is: 57,205.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,243.32 : 163,825.32 = 38,146 : x
  2. Step 2: Convert to fraction form
    109,243.32/163,825.32 = 38,146/x
  3. Step 3: Cross multiply
    109,243.32x = 163,825.32 × 38,146
  4. Step 4: Simplify right side
    109,243.32x = 6,249,280,656.72
  5. Step 5: Solve for x
    x = 6,249,280,656.72/109,243.32
  6. Step 6: Final answer
    x = 57,205.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.