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Finding the Fourth Proportional to 294,754.84, 442,220.10 and 95,106.52

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Solution

The fourth proportional to 294,754.84, 442,220.10 and 95,106.52 is: 142,688.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,754.84 : 442,220.10 = 95,106.52 : x
  2. Step 2: Convert to fraction form
    294,754.84/442,220.10 = 95,106.52/x
  3. Step 3: Cross multiply
    294,754.84x = 442,220.10 × 95,106.52
  4. Step 4: Simplify right side
    294,754.84x = 42,058,014,785.05
  5. Step 5: Solve for x
    x = 42,058,014,785.05/294,754.84
  6. Step 6: Final answer
    x = 142,688.12

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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.