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Finding the Fourth Proportional to 119,090.96, 164,345.16 and 65,374.16

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Solution

The fourth proportional to 119,090.96, 164,345.16 and 65,374.16 is: 90,216.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,090.96 : 164,345.16 = 65,374.16 : x
  2. Step 2: Convert to fraction form
    119,090.96/164,345.16 = 65,374.16/x
  3. Step 3: Cross multiply
    119,090.96x = 164,345.16 × 65,374.16
  4. Step 4: Simplify right side
    119,090.96x = 10,743,926,785.07
  5. Step 5: Solve for x
    x = 10,743,926,785.07/119,090.96
  6. Step 6: Final answer
    x = 90,216.14

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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.