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Finding the Fourth Proportional to 209,809.80, 314,714.70 and 181,269.45

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Solution

The fourth proportional to 209,809.80, 314,714.70 and 181,269.45 is: 271,904.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,809.80 : 314,714.70 = 181,269.45 : x
  2. Step 2: Convert to fraction form
    209,809.80/314,714.70 = 181,269.45/x
  3. Step 3: Cross multiply
    209,809.80x = 314,714.70 × 181,269.45
  4. Step 4: Simplify right side
    209,809.80x = 57,048,160,575.92
  5. Step 5: Solve for x
    x = 57,048,160,575.92/209,809.80
  6. Step 6: Final answer
    x = 271,904.18

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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.