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Finding the Fourth Proportional to 364,046.20, 546,069.30 and 153,921.40

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Solution

The fourth proportional to 364,046.20, 546,069.30 and 153,921.40 is: 230,882.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,046.20 : 546,069.30 = 153,921.40 : x
  2. Step 2: Convert to fraction form
    364,046.20/546,069.30 = 153,921.40/x
  3. Step 3: Cross multiply
    364,046.20x = 546,069.30 × 153,921.40
  4. Step 4: Simplify right side
    364,046.20x = 84,051,751,153.02
  5. Step 5: Solve for x
    x = 84,051,751,153.02/364,046.20
  6. Step 6: Final answer
    x = 230,882.10

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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.