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Finding the Fourth Proportional to 277,415.82, 382,830.84 and 150,088.68

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Solution

The fourth proportional to 277,415.82, 382,830.84 and 150,088.68 is: 207,120.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,415.82 : 382,830.84 = 150,088.68 : x
  2. Step 2: Convert to fraction form
    277,415.82/382,830.84 = 150,088.68/x
  3. Step 3: Cross multiply
    277,415.82x = 382,830.84 × 150,088.68
  4. Step 4: Simplify right side
    277,415.82x = 57,458,575,438.89
  5. Step 5: Solve for x
    x = 57,458,575,438.89/277,415.82
  6. Step 6: Final answer
    x = 207,120.76

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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.