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Finding the Fourth Proportional to 364,151.80, 546,098.10 and 164,567.80

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Solution

The fourth proportional to 364,151.80, 546,098.10 and 164,567.80 is: 246,793.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,151.80 : 546,098.10 = 164,567.80 : x
  2. Step 2: Convert to fraction form
    364,151.80/546,098.10 = 164,567.80/x
  3. Step 3: Cross multiply
    364,151.80x = 546,098.10 × 164,567.80
  4. Step 4: Simplify right side
    364,151.80x = 89,870,162,901.18
  5. Step 5: Solve for x
    x = 89,870,162,901.18/364,151.80
  6. Step 6: Final answer
    x = 246,793.13

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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.