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Finding the Fourth Proportional to 277,675.68, 416,427.39 and 100,159.59

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Solution

The fourth proportional to 277,675.68, 416,427.39 and 100,159.59 is: 150,208.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,675.68 : 416,427.39 = 100,159.59 : x
  2. Step 2: Convert to fraction form
    277,675.68/416,427.39 = 100,159.59/x
  3. Step 3: Cross multiply
    277,675.68x = 416,427.39 × 100,159.59
  4. Step 4: Simplify right side
    277,675.68x = 41,709,196,647.17
  5. Step 5: Solve for x
    x = 41,709,196,647.17/277,675.68
  6. Step 6: Final answer
    x = 150,208.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.