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Finding the Fourth Proportional to 147,293.76, 203,267.76 and 83,633.28

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Solution

The fourth proportional to 147,293.76, 203,267.76 and 83,633.28 is: 115,415.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,293.76 : 203,267.76 = 83,633.28 : x
  2. Step 2: Convert to fraction form
    147,293.76/203,267.76 = 83,633.28/x
  3. Step 3: Cross multiply
    147,293.76x = 203,267.76 × 83,633.28
  4. Step 4: Simplify right side
    147,293.76x = 16,999,949,487.05
  5. Step 5: Solve for x
    x = 16,999,949,487.05/147,293.76
  6. Step 6: Final answer
    x = 115,415.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.