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Finding the Fourth Proportional to 119,355.12, 164,714.32 and 65,644.32

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Solution

The fourth proportional to 119,355.12, 164,714.32 and 65,644.32 is: 90,591.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,355.12 : 164,714.32 = 65,644.32 : x
  2. Step 2: Convert to fraction form
    119,355.12/164,714.32 = 65,644.32/x
  3. Step 3: Cross multiply
    119,355.12x = 164,714.32 × 65,644.32
  4. Step 4: Simplify right side
    119,355.12x = 10,812,559,530.66
  5. Step 5: Solve for x
    x = 10,812,559,530.66/119,355.12
  6. Step 6: Final answer
    x = 90,591.50

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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.