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Finding the Fourth Proportional to 84,203.50, 116,200.84 and 46,477.76

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Solution

The fourth proportional to 84,203.50, 116,200.84 and 46,477.76 is: 64,139.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,203.50 : 116,200.84 = 46,477.76 : x
  2. Step 2: Convert to fraction form
    84,203.50/116,200.84 = 46,477.76/x
  3. Step 3: Cross multiply
    84,203.50x = 116,200.84 × 46,477.76
  4. Step 4: Simplify right side
    84,203.50x = 5,400,754,753.32
  5. Step 5: Solve for x
    x = 5,400,754,753.32/84,203.50
  6. Step 6: Final answer
    x = 64,139.31

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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.