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Finding the Fourth Proportional to 119,435.96, 164,822.38 and 65,719.46

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Solution

The fourth proportional to 119,435.96, 164,822.38 and 65,719.46 is: 90,693.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,435.96 : 164,822.38 = 65,719.46 : x
  2. Step 2: Convert to fraction form
    119,435.96/164,822.38 = 65,719.46/x
  3. Step 3: Cross multiply
    119,435.96x = 164,822.38 × 65,719.46
  4. Step 4: Simplify right side
    119,435.96x = 10,832,037,809.51
  5. Step 5: Solve for x
    x = 10,832,037,809.51/119,435.96
  6. Step 6: Final answer
    x = 90,693.27

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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.