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Finding the Fourth Proportional to 186,063.34, 256,791.92 and 180,997.00

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Solution

The fourth proportional to 186,063.34, 256,791.92 and 180,997.00 is: 249,799.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,063.34 : 256,791.92 = 180,997.00 : x
  2. Step 2: Convert to fraction form
    186,063.34/256,791.92 = 180,997.00/x
  3. Step 3: Cross multiply
    186,063.34x = 256,791.92 × 180,997.00
  4. Step 4: Simplify right side
    186,063.34x = 46,478,566,312.77
  5. Step 5: Solve for x
    x = 46,478,566,312.77/186,063.34
  6. Step 6: Final answer
    x = 249,799.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.