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Finding the Fourth Proportional to 152,863.74, 210,971.42 and 92,434.81

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Solution

The fourth proportional to 152,863.74, 210,971.42 and 92,434.81 is: 127,571.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,863.74 : 210,971.42 = 92,434.81 : x
  2. Step 2: Convert to fraction form
    152,863.74/210,971.42 = 92,434.81/x
  3. Step 3: Cross multiply
    152,863.74x = 210,971.42 × 92,434.81
  4. Step 4: Simplify right side
    152,863.74x = 19,501,101,606.10
  5. Step 5: Solve for x
    x = 19,501,101,606.10/152,863.74
  6. Step 6: Final answer
    x = 127,571.80

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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.