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Finding the Fourth Proportional to 228,495.64, 342,757.98 and 70,710.84

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Solution

The fourth proportional to 228,495.64, 342,757.98 and 70,710.84 is: 106,070.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,495.64 : 342,757.98 = 70,710.84 : x
  2. Step 2: Convert to fraction form
    228,495.64/342,757.98 = 70,710.84/x
  3. Step 3: Cross multiply
    228,495.64x = 342,757.98 × 70,710.84
  4. Step 4: Simplify right side
    228,495.64x = 24,236,704,682.50
  5. Step 5: Solve for x
    x = 24,236,704,682.50/228,495.64
  6. Step 6: Final answer
    x = 106,070.75

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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.