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Finding the Fourth Proportional to 258,894.09, 357,089.80 and 172,809.66

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Solution

The fourth proportional to 258,894.09, 357,089.80 and 172,809.66 is: 238,354.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,894.09 : 357,089.80 = 172,809.66 : x
  2. Step 2: Convert to fraction form
    258,894.09/357,089.80 = 172,809.66/x
  3. Step 3: Cross multiply
    258,894.09x = 357,089.80 × 172,809.66
  4. Step 4: Simplify right side
    258,894.09x = 61,708,566,063.42
  5. Step 5: Solve for x
    x = 61,708,566,063.42/258,894.09
  6. Step 6: Final answer
    x = 238,354.48

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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.