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Finding the Fourth Proportional to 100,011.30, 137,950.56 and 64,144.50

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Solution

The fourth proportional to 100,011.30, 137,950.56 and 64,144.50 is: 88,477.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,011.30 : 137,950.56 = 64,144.50 : x
  2. Step 2: Convert to fraction form
    100,011.30/137,950.56 = 64,144.50/x
  3. Step 3: Cross multiply
    100,011.30x = 137,950.56 × 64,144.50
  4. Step 4: Simplify right side
    100,011.30x = 8,848,769,695.92
  5. Step 5: Solve for x
    x = 8,848,769,695.92/100,011.30
  6. Step 6: Final answer
    x = 88,477.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.