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Finding the Fourth Proportional to 186,908.96, 280,362 and 46,666.64

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Solution

The fourth proportional to 186,908.96, 280,362 and 46,666.64 is: 69,999.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,908.96 : 280,362 = 46,666.64 : x
  2. Step 2: Convert to fraction form
    186,908.96/280,362 = 46,666.64/x
  3. Step 3: Cross multiply
    186,908.96x = 280,362 × 46,666.64
  4. Step 4: Simplify right side
    186,908.96x = 13,083,552,523.68
  5. Step 5: Solve for x
    x = 13,083,552,523.68/186,908.96
  6. Step 6: Final answer
    x = 69,999.60

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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.