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Finding the Fourth Proportional to 169,784.64, 234,344.88 and 98,206.08

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Solution

The fourth proportional to 169,784.64, 234,344.88 and 98,206.08 is: 135,548.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,784.64 : 234,344.88 = 98,206.08 : x
  2. Step 2: Convert to fraction form
    169,784.64/234,344.88 = 98,206.08/x
  3. Step 3: Cross multiply
    169,784.64x = 234,344.88 × 98,206.08
  4. Step 4: Simplify right side
    169,784.64x = 23,014,092,032.87
  5. Step 5: Solve for x
    x = 23,014,092,032.87/169,784.64
  6. Step 6: Final answer
    x = 135,548.73

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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.