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Finding the Fourth Proportional to 152,342.36, 210,231.92 and 85,274.36

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Solution

The fourth proportional to 152,342.36, 210,231.92 and 85,274.36 is: 117,678.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,342.36 : 210,231.92 = 85,274.36 : x
  2. Step 2: Convert to fraction form
    152,342.36/210,231.92 = 85,274.36/x
  3. Step 3: Cross multiply
    152,342.36x = 210,231.92 × 85,274.36
  4. Step 4: Simplify right side
    152,342.36x = 17,927,392,429.57
  5. Step 5: Solve for x
    x = 17,927,392,429.57/152,342.36
  6. Step 6: Final answer
    x = 117,678.32

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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.