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Finding the Fourth Proportional to 364,100.81, 546,063.66 and 186,516.41

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Solution

The fourth proportional to 364,100.81, 546,063.66 and 186,516.41 is: 279,729.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,100.81 : 546,063.66 = 186,516.41 : x
  2. Step 2: Convert to fraction form
    364,100.81/546,063.66 = 186,516.41/x
  3. Step 3: Cross multiply
    364,100.81x = 546,063.66 × 186,516.41
  4. Step 4: Simplify right side
    364,100.81x = 101,849,830,764.34
  5. Step 5: Solve for x
    x = 101,849,830,764.34/364,100.81
  6. Step 6: Final answer
    x = 279,729.76

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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.