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Finding the Fourth Proportional to 228,499.64, 342,763.98 and 70,714.84

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Solution

The fourth proportional to 228,499.64, 342,763.98 and 70,714.84 is: 106,076.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,499.64 : 342,763.98 = 70,714.84 : x
  2. Step 2: Convert to fraction form
    228,499.64/342,763.98 = 70,714.84/x
  3. Step 3: Cross multiply
    228,499.64x = 342,763.98 × 70,714.84
  4. Step 4: Simplify right side
    228,499.64x = 24,238,500,003.46
  5. Step 5: Solve for x
    x = 24,238,500,003.46/228,499.64
  6. Step 6: Final answer
    x = 106,076.75

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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.