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Finding the Fourth Proportional to 113,714.65, 156,894.73 and 73,430.11

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Solution

The fourth proportional to 113,714.65, 156,894.73 and 73,430.11 is: 101,313.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,714.65 : 156,894.73 = 73,430.11 : x
  2. Step 2: Convert to fraction form
    113,714.65/156,894.73 = 73,430.11/x
  3. Step 3: Cross multiply
    113,714.65x = 156,894.73 × 73,430.11
  4. Step 4: Simplify right side
    113,714.65x = 11,520,797,282.32
  5. Step 5: Solve for x
    x = 11,520,797,282.32/113,714.65
  6. Step 6: Final answer
    x = 101,313.22

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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.