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Finding the Fourth Proportional to 258,283.92, 356,415.48 and 150,884.40

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Solution

The fourth proportional to 258,283.92, 356,415.48 and 150,884.40 is: 208,210.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,283.92 : 356,415.48 = 150,884.40 : x
  2. Step 2: Convert to fraction form
    258,283.92/356,415.48 = 150,884.40/x
  3. Step 3: Cross multiply
    258,283.92x = 356,415.48 × 150,884.40
  4. Step 4: Simplify right side
    258,283.92x = 53,777,535,850.51
  5. Step 5: Solve for x
    x = 53,777,535,850.51/258,283.92
  6. Step 6: Final answer
    x = 208,210.93

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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.