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Finding the Fourth Proportional to 149,714.56, 206,605.60 and 82,646.08

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Solution

The fourth proportional to 149,714.56, 206,605.60 and 82,646.08 is: 114,051.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,714.56 : 206,605.60 = 82,646.08 : x
  2. Step 2: Convert to fraction form
    149,714.56/206,605.60 = 82,646.08/x
  3. Step 3: Cross multiply
    149,714.56x = 206,605.60 × 82,646.08
  4. Step 4: Simplify right side
    149,714.56x = 17,075,142,946.05
  5. Step 5: Solve for x
    x = 17,075,142,946.05/149,714.56
  6. Step 6: Final answer
    x = 114,051.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.