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Finding the Fourth Proportional to 186,938.99, 280,409.09 and 46,697.61

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Solution

The fourth proportional to 186,938.99, 280,409.09 and 46,697.61 is: 70,046.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,938.99 : 280,409.09 = 46,697.61 : x
  2. Step 2: Convert to fraction form
    186,938.99/280,409.09 = 46,697.61/x
  3. Step 3: Cross multiply
    186,938.99x = 280,409.09 × 46,697.61
  4. Step 4: Simplify right side
    186,938.99x = 13,094,434,091.79
  5. Step 5: Solve for x
    x = 13,094,434,091.79/186,938.99
  6. Step 6: Final answer
    x = 70,046.57

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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.