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Finding the Fourth Proportional to 152,310.83, 228,490.83 and 47,129.81

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Solution

The fourth proportional to 152,310.83, 228,490.83 and 47,129.81 is: 70,702.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,310.83 : 228,490.83 = 47,129.81 : x
  2. Step 2: Convert to fraction form
    152,310.83/228,490.83 = 47,129.81/x
  3. Step 3: Cross multiply
    152,310.83x = 228,490.83 × 47,129.81
  4. Step 4: Simplify right side
    152,310.83x = 10,768,728,262.19
  5. Step 5: Solve for x
    x = 10,768,728,262.19/152,310.83
  6. Step 6: Final answer
    x = 70,702.32

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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.