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Finding the Fourth Proportional to 258,401.88, 387,602.82 and 152,901

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Solution

The fourth proportional to 258,401.88, 387,602.82 and 152,901 is: 229,351.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,401.88 : 387,602.82 = 152,901 : x
  2. Step 2: Convert to fraction form
    258,401.88/387,602.82 = 152,901/x
  3. Step 3: Cross multiply
    258,401.88x = 387,602.82 × 152,901
  4. Step 4: Simplify right side
    258,401.88x = 59,264,858,780.82
  5. Step 5: Solve for x
    x = 59,264,858,780.82/258,401.88
  6. Step 6: Final answer
    x = 229,351.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.