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Finding the Fourth Proportional to 186,437.84, 279,654.06 and 46,195.52

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Solution

The fourth proportional to 186,437.84, 279,654.06 and 46,195.52 is: 69,292.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,437.84 : 279,654.06 = 46,195.52 : x
  2. Step 2: Convert to fraction form
    186,437.84/279,654.06 = 46,195.52/x
  3. Step 3: Cross multiply
    186,437.84x = 279,654.06 × 46,195.52
  4. Step 4: Simplify right side
    186,437.84x = 12,918,764,721.81
  5. Step 5: Solve for x
    x = 12,918,764,721.81/186,437.84
  6. Step 6: Final answer
    x = 69,292.61

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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.