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Finding the Fourth Proportional to 301,631.76, 452,372.88 and 101,947.71

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Solution

The fourth proportional to 301,631.76, 452,372.88 and 101,947.71 is: 152,896.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,631.76 : 452,372.88 = 101,947.71 : x
  2. Step 2: Convert to fraction form
    301,631.76/452,372.88 = 101,947.71/x
  3. Step 3: Cross multiply
    301,631.76x = 452,372.88 × 101,947.71
  4. Step 4: Simplify right side
    301,631.76x = 46,118,379,182.10
  5. Step 5: Solve for x
    x = 46,118,379,182.10/301,631.76
  6. Step 6: Final answer
    x = 152,896.30

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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.