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Finding the Fourth Proportional to 150,310.08, 206,955.81 and 127,602

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Solution

The fourth proportional to 150,310.08, 206,955.81 and 127,602 is: 175,689.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,310.08 : 206,955.81 = 127,602 : x
  2. Step 2: Convert to fraction form
    150,310.08/206,955.81 = 127,602/x
  3. Step 3: Cross multiply
    150,310.08x = 206,955.81 × 127,602
  4. Step 4: Simplify right side
    150,310.08x = 26,407,975,267.62
  5. Step 5: Solve for x
    x = 26,407,975,267.62/150,310.08
  6. Step 6: Final answer
    x = 175,689.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.