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Finding the Fourth Proportional to 186,884.64, 257,934.24 and 111,438

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Solution

The fourth proportional to 186,884.64, 257,934.24 and 111,438 is: 153,804.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,884.64 : 257,934.24 = 111,438 : x
  2. Step 2: Convert to fraction form
    186,884.64/257,934.24 = 111,438/x
  3. Step 3: Cross multiply
    186,884.64x = 257,934.24 × 111,438
  4. Step 4: Simplify right side
    186,884.64x = 28,743,675,837.12
  5. Step 5: Solve for x
    x = 28,743,675,837.12/186,884.64
  6. Step 6: Final answer
    x = 153,804.38

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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.