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Finding the Fourth Proportional to 361,244.74, 542,199.75 and 183,878.50

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Solution

The fourth proportional to 361,244.74, 542,199.75 and 183,878.50 is: 275,987.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,244.74 : 542,199.75 = 183,878.50 : x
  2. Step 2: Convert to fraction form
    361,244.74/542,199.75 = 183,878.50/x
  3. Step 3: Cross multiply
    361,244.74x = 542,199.75 × 183,878.50
  4. Step 4: Simplify right side
    361,244.74x = 99,698,876,730.38
  5. Step 5: Solve for x
    x = 99,698,876,730.38/361,244.74
  6. Step 6: Final answer
    x = 275,987.07

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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.