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Finding the Fourth Proportional to 152,638.41, 210,651.74 and 84,661.86

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Solution

The fourth proportional to 152,638.41, 210,651.74 and 84,661.86 is: 116,839.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,638.41 : 210,651.74 = 84,661.86 : x
  2. Step 2: Convert to fraction form
    152,638.41/210,651.74 = 84,661.86/x
  3. Step 3: Cross multiply
    152,638.41x = 210,651.74 × 84,661.86
  4. Step 4: Simplify right side
    152,638.41x = 17,834,168,120.64
  5. Step 5: Solve for x
    x = 17,834,168,120.64/152,638.41
  6. Step 6: Final answer
    x = 116,839.32

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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.