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Finding the Fourth Proportional to 294,761.94, 442,099.85 and 144,962.03

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Solution

The fourth proportional to 294,761.94, 442,099.85 and 144,962.03 is: 217,421.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,761.94 : 442,099.85 = 144,962.03 : x
  2. Step 2: Convert to fraction form
    294,761.94/442,099.85 = 144,962.03/x
  3. Step 3: Cross multiply
    294,761.94x = 442,099.85 × 144,962.03
  4. Step 4: Simplify right side
    294,761.94x = 64,087,688,783.39
  5. Step 5: Solve for x
    x = 64,087,688,783.39/294,761.94
  6. Step 6: Final answer
    x = 217,421.86

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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.