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Finding the Fourth Proportional to 104,714.91, 144,509.31 and 56,971.44

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Solution

The fourth proportional to 104,714.91, 144,509.31 and 56,971.44 is: 78,622.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,714.91 : 144,509.31 = 56,971.44 : x
  2. Step 2: Convert to fraction form
    104,714.91/144,509.31 = 56,971.44/x
  3. Step 3: Cross multiply
    104,714.91x = 144,509.31 × 56,971.44
  4. Step 4: Simplify right side
    104,714.91x = 8,232,903,484.11
  5. Step 5: Solve for x
    x = 8,232,903,484.11/104,714.91
  6. Step 6: Final answer
    x = 78,622.07

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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.