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Finding the Fourth Proportional to 237,670.31, 327,985.04 and 137,068.31

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Solution

The fourth proportional to 237,670.31, 327,985.04 and 137,068.31 is: 189,154.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,670.31 : 327,985.04 = 137,068.31 : x
  2. Step 2: Convert to fraction form
    237,670.31/327,985.04 = 137,068.31/x
  3. Step 3: Cross multiply
    237,670.31x = 327,985.04 × 137,068.31
  4. Step 4: Simplify right side
    237,670.31x = 44,956,356,300.72
  5. Step 5: Solve for x
    x = 44,956,356,300.72/237,670.31
  6. Step 6: Final answer
    x = 189,154.28

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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.