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Finding the Fourth Proportional to 284,113.76, 425,871.02 and 94,523.34

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Solution

The fourth proportional to 284,113.76, 425,871.02 and 94,523.34 is: 141,685.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,113.76 : 425,871.02 = 94,523.34 : x
  2. Step 2: Convert to fraction form
    284,113.76/425,871.02 = 94,523.34/x
  3. Step 3: Cross multiply
    284,113.76x = 425,871.02 × 94,523.34
  4. Step 4: Simplify right side
    284,113.76x = 40,254,751,219.61
  5. Step 5: Solve for x
    x = 40,254,751,219.61/284,113.76
  6. Step 6: Final answer
    x = 141,685.33

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Why These Related Problems?

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