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Finding the Fourth Proportional to 205,714.10, 308,571.15 and 197,840.90

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Solution

The fourth proportional to 205,714.10, 308,571.15 and 197,840.90 is: 296,761.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,714.10 : 308,571.15 = 197,840.90 : x
  2. Step 2: Convert to fraction form
    205,714.10/308,571.15 = 197,840.90/x
  3. Step 3: Cross multiply
    205,714.10x = 308,571.15 × 197,840.90
  4. Step 4: Simplify right side
    205,714.10x = 61,047,994,030.04
  5. Step 5: Solve for x
    x = 61,047,994,030.04/205,714.10
  6. Step 6: Final answer
    x = 296,761.35

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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.