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Finding the Fourth Proportional to 258,196.80, 356,291.64 and 144,997.68

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Solution

The fourth proportional to 258,196.80, 356,291.64 and 144,997.68 is: 200,085.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,196.80 : 356,291.64 = 144,997.68 : x
  2. Step 2: Convert to fraction form
    258,196.80/356,291.64 = 144,997.68/x
  3. Step 3: Cross multiply
    258,196.80x = 356,291.64 × 144,997.68
  4. Step 4: Simplify right side
    258,196.80x = 51,661,461,203.40
  5. Step 5: Solve for x
    x = 51,661,461,203.40/258,196.80
  6. Step 6: Final answer
    x = 200,085.60

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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.