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Finding the Fourth Proportional to 186,705.36, 280,057.56 and 46,464

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Solution

The fourth proportional to 186,705.36, 280,057.56 and 46,464 is: 69,695.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,705.36 : 280,057.56 = 46,464 : x
  2. Step 2: Convert to fraction form
    186,705.36/280,057.56 = 46,464/x
  3. Step 3: Cross multiply
    186,705.36x = 280,057.56 × 46,464
  4. Step 4: Simplify right side
    186,705.36x = 13,012,594,467.84
  5. Step 5: Solve for x
    x = 13,012,594,467.84/186,705.36
  6. Step 6: Final answer
    x = 69,695.88

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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.