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Finding the Fourth Proportional to 258,684.60, 356,987.70 and 145,506.36

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Solution

The fourth proportional to 258,684.60, 356,987.70 and 145,506.36 is: 200,800.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,684.60 : 356,987.70 = 145,506.36 : x
  2. Step 2: Convert to fraction form
    258,684.60/356,987.70 = 145,506.36/x
  3. Step 3: Cross multiply
    258,684.60x = 356,987.70 × 145,506.36
  4. Step 4: Simplify right side
    258,684.60x = 51,943,980,791.77
  5. Step 5: Solve for x
    x = 51,943,980,791.77/258,684.60
  6. Step 6: Final answer
    x = 200,800.44

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1.5x scale

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.