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Finding the Fourth Proportional to 205,714.80, 308,572.20 and 57,970.80

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Solution

The fourth proportional to 205,714.80, 308,572.20 and 57,970.80 is: 86,956.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,714.80 : 308,572.20 = 57,970.80 : x
  2. Step 2: Convert to fraction form
    205,714.80/308,572.20 = 57,970.80/x
  3. Step 3: Cross multiply
    205,714.80x = 308,572.20 × 57,970.80
  4. Step 4: Simplify right side
    205,714.80x = 17,888,177,291.76
  5. Step 5: Solve for x
    x = 17,888,177,291.76/205,714.80
  6. Step 6: Final answer
    x = 86,956.20

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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.