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Finding the Fourth Proportional to 243,847.74, 336,496.32 and 136,397.01

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Solution

The fourth proportional to 243,847.74, 336,496.32 and 136,397.01 is: 188,220.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,847.74 : 336,496.32 = 136,397.01 : x
  2. Step 2: Convert to fraction form
    243,847.74/336,496.32 = 136,397.01/x
  3. Step 3: Cross multiply
    243,847.74x = 336,496.32 × 136,397.01
  4. Step 4: Simplify right side
    243,847.74x = 45,897,091,924.00
  5. Step 5: Solve for x
    x = 45,897,091,924.00/243,847.74
  6. Step 6: Final answer
    x = 188,220.29

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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.