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Finding the Fourth Proportional to 152,586.74, 210,561.26 and 84,599.74

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Solution

The fourth proportional to 152,586.74, 210,561.26 and 84,599.74 is: 116,742.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,586.74 : 210,561.26 = 84,599.74 : x
  2. Step 2: Convert to fraction form
    152,586.74/210,561.26 = 84,599.74/x
  3. Step 3: Cross multiply
    152,586.74x = 210,561.26 × 84,599.74
  4. Step 4: Simplify right side
    152,586.74x = 17,813,427,850.07
  5. Step 5: Solve for x
    x = 17,813,427,850.07/152,586.74
  6. Step 6: Final answer
    x = 116,742.96

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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.