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Finding the Fourth Proportional to 188,683.17, 260,387.51 and 102,647.00

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Solution

The fourth proportional to 188,683.17, 260,387.51 and 102,647.00 is: 141,655.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,683.17 : 260,387.51 = 102,647.00 : x
  2. Step 2: Convert to fraction form
    188,683.17/260,387.51 = 102,647.00/x
  3. Step 3: Cross multiply
    188,683.17x = 260,387.51 × 102,647.00
  4. Step 4: Simplify right side
    188,683.17x = 26,727,995,989.41
  5. Step 5: Solve for x
    x = 26,727,995,989.41/188,683.17
  6. Step 6: Final answer
    x = 141,655.43

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Why These Related Problems?

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