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Finding the Fourth Proportional to 114,922.98, 172,235.12 and 64,319.94

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Solution

The fourth proportional to 114,922.98, 172,235.12 and 64,319.94 is: 96,396.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,922.98 : 172,235.12 = 64,319.94 : x
  2. Step 2: Convert to fraction form
    114,922.98/172,235.12 = 64,319.94/x
  3. Step 3: Cross multiply
    114,922.98x = 172,235.12 × 64,319.94
  4. Step 4: Simplify right side
    114,922.98x = 11,078,152,262.69
  5. Step 5: Solve for x
    x = 11,078,152,262.69/114,922.98
  6. Step 6: Final answer
    x = 96,396.32

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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.