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Finding the Fourth Proportional to 186,356.63, 257,086.17 and 109,823.45

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Solution

The fourth proportional to 186,356.63, 257,086.17 and 109,823.45 is: 151,505.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,356.63 : 257,086.17 = 109,823.45 : x
  2. Step 2: Convert to fraction form
    186,356.63/257,086.17 = 109,823.45/x
  3. Step 3: Cross multiply
    186,356.63x = 257,086.17 × 109,823.45
  4. Step 4: Simplify right side
    186,356.63x = 28,234,088,851.26
  5. Step 5: Solve for x
    x = 28,234,088,851.26/186,356.63
  6. Step 6: Final answer
    x = 151,505.68

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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.