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Finding the Fourth Proportional to 186,314.25, 257,114.27 and 101,431.92

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Solution

The fourth proportional to 186,314.25, 257,114.27 and 101,431.92 is: 139,976.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,314.25 : 257,114.27 = 101,431.92 : x
  2. Step 2: Convert to fraction form
    186,314.25/257,114.27 = 101,431.92/x
  3. Step 3: Cross multiply
    186,314.25x = 257,114.27 × 101,431.92
  4. Step 4: Simplify right side
    186,314.25x = 26,079,594,319.08
  5. Step 5: Solve for x
    x = 26,079,594,319.08/186,314.25
  6. Step 6: Final answer
    x = 139,976.38

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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.