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Finding the Fourth Proportional to 152,829.24, 210,894.88 and 84,842.24

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Solution

The fourth proportional to 152,829.24, 210,894.88 and 84,842.24 is: 117,077.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,829.24 : 210,894.88 = 84,842.24 : x
  2. Step 2: Convert to fraction form
    152,829.24/210,894.88 = 84,842.24/x
  3. Step 3: Cross multiply
    152,829.24x = 210,894.88 × 84,842.24
  4. Step 4: Simplify right side
    152,829.24x = 17,892,794,023.73
  5. Step 5: Solve for x
    x = 17,892,794,023.73/152,829.24
  6. Step 6: Final answer
    x = 117,077.03

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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.