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Finding the Fourth Proportional to 101,714.87, 140,374.80 and 56,407.05

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Solution

The fourth proportional to 101,714.87, 140,374.80 and 56,407.05 is: 77,846.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,714.87 : 140,374.80 = 56,407.05 : x
  2. Step 2: Convert to fraction form
    101,714.87/140,374.80 = 56,407.05/x
  3. Step 3: Cross multiply
    101,714.87x = 140,374.80 × 56,407.05
  4. Step 4: Simplify right side
    101,714.87x = 7,918,128,362.34
  5. Step 5: Solve for x
    x = 7,918,128,362.34/101,714.87
  6. Step 6: Final answer
    x = 77,846.32

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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.