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Finding the Fourth Proportional to 102,227.68, 153,228.12 and 43,045.84

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Solution

The fourth proportional to 102,227.68, 153,228.12 and 43,045.84 is: 64,521.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,227.68 : 153,228.12 = 43,045.84 : x
  2. Step 2: Convert to fraction form
    102,227.68/153,228.12 = 43,045.84/x
  3. Step 3: Cross multiply
    102,227.68x = 153,228.12 × 43,045.84
  4. Step 4: Simplify right side
    102,227.68x = 6,595,833,137.02
  5. Step 5: Solve for x
    x = 6,595,833,137.02/102,227.68
  6. Step 6: Final answer
    x = 64,521.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.