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Finding the Fourth Proportional to 137,714.60, 206,571.90 and 49,068.20

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Solution

The fourth proportional to 137,714.60, 206,571.90 and 49,068.20 is: 73,602.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,714.60 : 206,571.90 = 49,068.20 : x
  2. Step 2: Convert to fraction form
    137,714.60/206,571.90 = 49,068.20/x
  3. Step 3: Cross multiply
    137,714.60x = 206,571.90 × 49,068.20
  4. Step 4: Simplify right side
    137,714.60x = 10,136,111,303.58
  5. Step 5: Solve for x
    x = 10,136,111,303.58/137,714.60
  6. Step 6: Final answer
    x = 73,602.30

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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.