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Finding the Fourth Proportional to 186,669.86, 280,004.25 and 46,428.48

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Solution

The fourth proportional to 186,669.86, 280,004.25 and 46,428.48 is: 69,642.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,669.86 : 280,004.25 = 46,428.48 : x
  2. Step 2: Convert to fraction form
    186,669.86/280,004.25 = 46,428.48/x
  3. Step 3: Cross multiply
    186,669.86x = 280,004.25 × 46,428.48
  4. Step 4: Simplify right side
    186,669.86x = 13,000,171,721.04
  5. Step 5: Solve for x
    x = 13,000,171,721.04/186,669.86
  6. Step 6: Final answer
    x = 69,642.59

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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.