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Finding the Fourth Proportional to 152,045.48, 228,046.48 and 52,203.80

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Solution

The fourth proportional to 152,045.48, 228,046.48 and 52,203.80 is: 78,298.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,045.48 : 228,046.48 = 52,203.80 : x
  2. Step 2: Convert to fraction form
    152,045.48/228,046.48 = 52,203.80/x
  3. Step 3: Cross multiply
    152,045.48x = 228,046.48 × 52,203.80
  4. Step 4: Simplify right side
    152,045.48x = 11,904,892,832.62
  5. Step 5: Solve for x
    x = 11,904,892,832.62/152,045.48
  6. Step 6: Final answer
    x = 78,298.24

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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.