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Finding the Fourth Proportional to 310,622.53, 465,856.83 and 133,109.41

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Solution

The fourth proportional to 310,622.53, 465,856.83 and 133,109.41 is: 199,631.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,622.53 : 465,856.83 = 133,109.41 : x
  2. Step 2: Convert to fraction form
    310,622.53/465,856.83 = 133,109.41/x
  3. Step 3: Cross multiply
    310,622.53x = 465,856.83 × 133,109.41
  4. Step 4: Simplify right side
    310,622.53x = 62,009,927,785.77
  5. Step 5: Solve for x
    x = 62,009,927,785.77/310,622.53
  6. Step 6: Final answer
    x = 199,631.13

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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.