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Finding the Fourth Proportional to 307,267.76, 460,901.10 and 120,148.04

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Solution

The fourth proportional to 307,267.76, 460,901.10 and 120,148.04 is: 180,221.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,267.76 : 460,901.10 = 120,148.04 : x
  2. Step 2: Convert to fraction form
    307,267.76/460,901.10 = 120,148.04/x
  3. Step 3: Cross multiply
    307,267.76x = 460,901.10 × 120,148.04
  4. Step 4: Simplify right side
    307,267.76x = 55,376,363,798.84
  5. Step 5: Solve for x
    x = 55,376,363,798.84/307,267.76
  6. Step 6: Final answer
    x = 180,221.85

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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.