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Finding the Fourth Proportional to 101,653.17, 140,269.86 and 56,319.75

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Solution

The fourth proportional to 101,653.17, 140,269.86 and 56,319.75 is: 77,714.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,653.17 : 140,269.86 = 56,319.75 : x
  2. Step 2: Convert to fraction form
    101,653.17/140,269.86 = 56,319.75/x
  3. Step 3: Cross multiply
    101,653.17x = 140,269.86 × 56,319.75
  4. Step 4: Simplify right side
    101,653.17x = 7,899,963,447.74
  5. Step 5: Solve for x
    x = 7,899,963,447.74/101,653.17
  6. Step 6: Final answer
    x = 77,714.88

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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.