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Finding the Fourth Proportional to 364,145.80, 546,089.10 and 164,561.80

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Solution

The fourth proportional to 364,145.80, 546,089.10 and 164,561.80 is: 246,784.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,145.80 : 546,089.10 = 164,561.80 : x
  2. Step 2: Convert to fraction form
    364,145.80/546,089.10 = 164,561.80/x
  3. Step 3: Cross multiply
    364,145.80x = 546,089.10 × 164,561.80
  4. Step 4: Simplify right side
    364,145.80x = 89,865,405,256.38
  5. Step 5: Solve for x
    x = 89,865,405,256.38/364,145.80
  6. Step 6: Final answer
    x = 246,784.13

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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.