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Finding the Fourth Proportional to 243,729.50, 336,343.88 and 136,298.53

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Solution

The fourth proportional to 243,729.50, 336,343.88 and 136,298.53 is: 188,090.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,729.50 : 336,343.88 = 136,298.53 : x
  2. Step 2: Convert to fraction form
    243,729.50/336,343.88 = 136,298.53/x
  3. Step 3: Cross multiply
    243,729.50x = 336,343.88 × 136,298.53
  4. Step 4: Simplify right side
    243,729.50x = 45,843,174,055.28
  5. Step 5: Solve for x
    x = 45,843,174,055.28/243,729.50
  6. Step 6: Final answer
    x = 188,090.38

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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.