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Finding the Fourth Proportional to 119,739.16, 165,236.51 and 66,024.16

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Solution

The fourth proportional to 119,739.16, 165,236.51 and 66,024.16 is: 91,111.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,739.16 : 165,236.51 = 66,024.16 : x
  2. Step 2: Convert to fraction form
    119,739.16/165,236.51 = 66,024.16/x
  3. Step 3: Cross multiply
    119,739.16x = 165,236.51 × 66,024.16
  4. Step 4: Simplify right side
    119,739.16x = 10,909,602,084.12
  5. Step 5: Solve for x
    x = 10,909,602,084.12/119,739.16
  6. Step 6: Final answer
    x = 91,111.40

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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.