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Finding the Fourth Proportional to 215,446.80, 322,970.94 and 110,033.40

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Solution

The fourth proportional to 215,446.80, 322,970.94 and 110,033.40 is: 164,948.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,446.80 : 322,970.94 = 110,033.40 : x
  2. Step 2: Convert to fraction form
    215,446.80/322,970.94 = 110,033.40/x
  3. Step 3: Cross multiply
    215,446.80x = 322,970.94 × 110,033.40
  4. Step 4: Simplify right side
    215,446.80x = 35,537,590,629.40
  5. Step 5: Solve for x
    x = 35,537,590,629.40/215,446.80
  6. Step 6: Final answer
    x = 164,948.33

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1.5x scale

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.