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Finding the Fourth Proportional to 102,212.28, 153,301.14 and 28,323

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Solution

The fourth proportional to 102,212.28, 153,301.14 and 28,323 is: 42,479.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,212.28 : 153,301.14 = 28,323 : x
  2. Step 2: Convert to fraction form
    102,212.28/153,301.14 = 28,323/x
  3. Step 3: Cross multiply
    102,212.28x = 153,301.14 × 28,323
  4. Step 4: Simplify right side
    102,212.28x = 4,341,948,188.22
  5. Step 5: Solve for x
    x = 4,341,948,188.22/102,212.28
  6. Step 6: Final answer
    x = 42,479.71

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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.