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Finding the Fourth Proportional to 158,395.16, 218,502.40 and 97,946.48

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Solution

The fourth proportional to 158,395.16, 218,502.40 and 97,946.48 is: 135,114.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,395.16 : 218,502.40 = 97,946.48 : x
  2. Step 2: Convert to fraction form
    158,395.16/218,502.40 = 97,946.48/x
  3. Step 3: Cross multiply
    158,395.16x = 218,502.40 × 97,946.48
  4. Step 4: Simplify right side
    158,395.16x = 21,401,540,951.55
  5. Step 5: Solve for x
    x = 21,401,540,951.55/158,395.16
  6. Step 6: Final answer
    x = 135,114.87

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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.