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Finding the Fourth Proportional to 186,649.83, 279,923.07 and 51,681.54

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Solution

The fourth proportional to 186,649.83, 279,923.07 and 51,681.54 is: 77,508.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,649.83 : 279,923.07 = 51,681.54 : x
  2. Step 2: Convert to fraction form
    186,649.83/279,923.07 = 51,681.54/x
  3. Step 3: Cross multiply
    186,649.83x = 279,923.07 × 51,681.54
  4. Step 4: Simplify right side
    186,649.83x = 14,466,855,339.13
  5. Step 5: Solve for x
    x = 14,466,855,339.13/186,649.83
  6. Step 6: Final answer
    x = 77,508.00

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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.