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Finding the Fourth Proportional to 186,382.50, 257,232.15 and 110,931

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Solution

The fourth proportional to 186,382.50, 257,232.15 and 110,931 is: 153,099.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,382.50 : 257,232.15 = 110,931 : x
  2. Step 2: Convert to fraction form
    186,382.50/257,232.15 = 110,931/x
  3. Step 3: Cross multiply
    186,382.50x = 257,232.15 × 110,931
  4. Step 4: Simplify right side
    186,382.50x = 28,535,019,631.65
  5. Step 5: Solve for x
    x = 28,535,019,631.65/186,382.50
  6. Step 6: Final answer
    x = 153,099.24

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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.