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Finding the Fourth Proportional to 186,709.14, 279,886.59 and 74,458.53

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Solution

The fourth proportional to 186,709.14, 279,886.59 and 74,458.53 is: 111,617.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,709.14 : 279,886.59 = 74,458.53 : x
  2. Step 2: Convert to fraction form
    186,709.14/279,886.59 = 74,458.53/x
  3. Step 3: Cross multiply
    186,709.14x = 279,886.59 × 74,458.53
  4. Step 4: Simplify right side
    186,709.14x = 20,839,944,058.11
  5. Step 5: Solve for x
    x = 20,839,944,058.11/186,709.14
  6. Step 6: Final answer
    x = 111,617.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.