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Finding the Fourth Proportional to 152,609.50, 210,590.82 and 84,623.97

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Solution

The fourth proportional to 152,609.50, 210,590.82 and 84,623.97 is: 116,775.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,609.50 : 210,590.82 = 84,623.97 : x
  2. Step 2: Convert to fraction form
    152,609.50/210,590.82 = 84,623.97/x
  3. Step 3: Cross multiply
    152,609.50x = 210,590.82 × 84,623.97
  4. Step 4: Simplify right side
    152,609.50x = 17,821,032,023.67
  5. Step 5: Solve for x
    x = 17,821,032,023.67/152,609.50
  6. Step 6: Final answer
    x = 116,775.38

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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.