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Finding the Fourth Proportional to 186,940.49, 280,411.34 and 46,699.11

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Solution

The fourth proportional to 186,940.49, 280,411.34 and 46,699.11 is: 70,048.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,940.49 : 280,411.34 = 46,699.11 : x
  2. Step 2: Convert to fraction form
    186,940.49/280,411.34 = 46,699.11/x
  3. Step 3: Cross multiply
    186,940.49x = 280,411.34 × 46,699.11
  4. Step 4: Simplify right side
    186,940.49x = 13,094,959,778.41
  5. Step 5: Solve for x
    x = 13,094,959,778.41/186,940.49
  6. Step 6: Final answer
    x = 70,048.82

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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.