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Finding the Fourth Proportional to 186,433.84, 279,647.52 and 46,192

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Solution

The fourth proportional to 186,433.84, 279,647.52 and 46,192 is: 69,287.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,433.84 : 279,647.52 = 46,192 : x
  2. Step 2: Convert to fraction form
    186,433.84/279,647.52 = 46,192/x
  3. Step 3: Cross multiply
    186,433.84x = 279,647.52 × 46,192
  4. Step 4: Simplify right side
    186,433.84x = 12,917,478,243.84
  5. Step 5: Solve for x
    x = 12,917,478,243.84/186,433.84
  6. Step 6: Final answer
    x = 69,287.20

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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.