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Finding the Fourth Proportional to 364,145.10, 545,926.05 and 153,609.90

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Solution

The fourth proportional to 364,145.10, 545,926.05 and 153,609.90 is: 230,291.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,145.10 : 545,926.05 = 153,609.90 : x
  2. Step 2: Convert to fraction form
    364,145.10/545,926.05 = 153,609.90/x
  3. Step 3: Cross multiply
    364,145.10x = 545,926.05 × 153,609.90
  4. Step 4: Simplify right side
    364,145.10x = 83,859,645,947.90
  5. Step 5: Solve for x
    x = 83,859,645,947.90/364,145.10
  6. Step 6: Final answer
    x = 230,291.84

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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.