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Finding the Fourth Proportional to 132,011, 182,100.64 and 78,243.20

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Solution

The fourth proportional to 132,011, 182,100.64 and 78,243.20 is: 107,931.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,011 : 182,100.64 = 78,243.20 : x
  2. Step 2: Convert to fraction form
    132,011/182,100.64 = 78,243.20/x
  3. Step 3: Cross multiply
    132,011x = 182,100.64 × 78,243.20
  4. Step 4: Simplify right side
    132,011x = 14,248,136,795.65
  5. Step 5: Solve for x
    x = 14,248,136,795.65/132,011
  6. Step 6: Final answer
    x = 107,931.44

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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.