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Finding the Fourth Proportional to 277,437.74, 382,865.06 and 150,113.32

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Solution

The fourth proportional to 277,437.74, 382,865.06 and 150,113.32 is: 207,156.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,437.74 : 382,865.06 = 150,113.32 : x
  2. Step 2: Convert to fraction form
    277,437.74/382,865.06 = 150,113.32/x
  3. Step 3: Cross multiply
    277,437.74x = 382,865.06 × 150,113.32
  4. Step 4: Simplify right side
    277,437.74x = 57,473,145,268.60
  5. Step 5: Solve for x
    x = 57,473,145,268.60/277,437.74
  6. Step 6: Final answer
    x = 207,156.91

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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.