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Finding the Fourth Proportional to 201,809.70, 302,714.55 and 180,036.90

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Solution

The fourth proportional to 201,809.70, 302,714.55 and 180,036.90 is: 270,055.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,809.70 : 302,714.55 = 180,036.90 : x
  2. Step 2: Convert to fraction form
    201,809.70/302,714.55 = 180,036.90/x
  3. Step 3: Cross multiply
    201,809.70x = 302,714.55 × 180,036.90
  4. Step 4: Simplify right side
    201,809.70x = 54,499,789,166.90
  5. Step 5: Solve for x
    x = 54,499,789,166.90/201,809.70
  6. Step 6: Final answer
    x = 270,055.35

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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.