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Finding the Fourth Proportional to 258,866.88, 357,346.50 and 174,033.14

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Solution

The fourth proportional to 258,866.88, 357,346.50 and 174,033.14 is: 240,239.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,866.88 : 357,346.50 = 174,033.14 : x
  2. Step 2: Convert to fraction form
    258,866.88/357,346.50 = 174,033.14/x
  3. Step 3: Cross multiply
    258,866.88x = 357,346.50 × 174,033.14
  4. Step 4: Simplify right side
    258,866.88x = 62,190,133,463.01
  5. Step 5: Solve for x
    x = 62,190,133,463.01/258,866.88
  6. Step 6: Final answer
    x = 240,239.82

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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.