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Finding the Fourth Proportional to 153,817.02, 230,741.94 and 65,079.48

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Solution

The fourth proportional to 153,817.02, 230,741.94 and 65,079.48 is: 97,626.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,817.02 : 230,741.94 = 65,079.48 : x
  2. Step 2: Convert to fraction form
    153,817.02/230,741.94 = 65,079.48/x
  3. Step 3: Cross multiply
    153,817.02x = 230,741.94 × 65,079.48
  4. Step 4: Simplify right side
    153,817.02x = 15,016,565,469.39
  5. Step 5: Solve for x
    x = 15,016,565,469.39/153,817.02
  6. Step 6: Final answer
    x = 97,626.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.