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Finding the Fourth Proportional to 258,641.63, 357,089.40 and 177,106.31

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Solution

The fourth proportional to 258,641.63, 357,089.40 and 177,106.31 is: 244,518.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,641.63 : 357,089.40 = 177,106.31 : x
  2. Step 2: Convert to fraction form
    258,641.63/357,089.40 = 177,106.31/x
  3. Step 3: Cross multiply
    258,641.63x = 357,089.40 × 177,106.31
  4. Step 4: Simplify right side
    258,641.63x = 63,242,784,188.67
  5. Step 5: Solve for x
    x = 63,242,784,188.67/258,641.63
  6. Step 6: Final answer
    x = 244,518.97

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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.