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Finding the Fourth Proportional to 186,357.95, 257,166.95 and 113,882.03

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Solution

The fourth proportional to 186,357.95, 257,166.95 and 113,882.03 is: 157,152.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,357.95 : 257,166.95 = 113,882.03 : x
  2. Step 2: Convert to fraction form
    186,357.95/257,166.95 = 113,882.03/x
  3. Step 3: Cross multiply
    186,357.95x = 257,166.95 × 113,882.03
  4. Step 4: Simplify right side
    186,357.95x = 29,286,693,671.99
  5. Step 5: Solve for x
    x = 29,286,693,671.99/186,357.95
  6. Step 6: Final answer
    x = 157,152.91

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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.