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Finding the Fourth Proportional to 164,859.49, 245,807.73 and 150,784.39

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Solution

The fourth proportional to 164,859.49, 245,807.73 and 150,784.39 is: 224,821.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,859.49 : 245,807.73 = 150,784.39 : x
  2. Step 2: Convert to fraction form
    164,859.49/245,807.73 = 150,784.39/x
  3. Step 3: Cross multiply
    164,859.49x = 245,807.73 × 150,784.39
  4. Step 4: Simplify right side
    164,859.49x = 37,063,968,625.33
  5. Step 5: Solve for x
    x = 37,063,968,625.33/164,859.49
  6. Step 6: Final answer
    x = 224,821.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.