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Finding the Fourth Proportional to 186,553.81, 279,830.70 and 46,312.43

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Solution

The fourth proportional to 186,553.81, 279,830.70 and 46,312.43 is: 69,468.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,553.81 : 279,830.70 = 46,312.43 : x
  2. Step 2: Convert to fraction form
    186,553.81/279,830.70 = 46,312.43/x
  3. Step 3: Cross multiply
    186,553.81x = 279,830.70 × 46,312.43
  4. Step 4: Simplify right side
    186,553.81x = 12,959,640,405.18
  5. Step 5: Solve for x
    x = 12,959,640,405.18/186,553.81
  6. Step 6: Final answer
    x = 69,468.65

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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.