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Finding the Fourth Proportional to 132,020, 182,199.12 and 72,415.52

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Solution

The fourth proportional to 132,020, 182,199.12 and 72,415.52 is: 99,939.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,020 : 182,199.12 = 72,415.52 : x
  2. Step 2: Convert to fraction form
    132,020/182,199.12 = 72,415.52/x
  3. Step 3: Cross multiply
    132,020x = 182,199.12 × 72,415.52
  4. Step 4: Simplify right side
    132,020x = 13,194,044,018.34
  5. Step 5: Solve for x
    x = 13,194,044,018.34/132,020
  6. Step 6: Final answer
    x = 99,939.74

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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.