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Finding the Fourth Proportional to 367,053.30, 550,142.55 and 153,820.80

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Solution

The fourth proportional to 367,053.30, 550,142.55 and 153,820.80 is: 230,547.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,053.30 : 550,142.55 = 153,820.80 : x
  2. Step 2: Convert to fraction form
    367,053.30/550,142.55 = 153,820.80/x
  3. Step 3: Cross multiply
    367,053.30x = 550,142.55 × 153,820.80
  4. Step 4: Simplify right side
    367,053.30x = 84,623,367,155.04
  5. Step 5: Solve for x
    x = 84,623,367,155.04/367,053.30
  6. Step 6: Final answer
    x = 230,547.90

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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.