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Finding the Fourth Proportional to 277,751.80, 416,627.70 and 137,783.80

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Solution

The fourth proportional to 277,751.80, 416,627.70 and 137,783.80 is: 206,675.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,751.80 : 416,627.70 = 137,783.80 : x
  2. Step 2: Convert to fraction form
    277,751.80/416,627.70 = 137,783.80/x
  3. Step 3: Cross multiply
    277,751.80x = 416,627.70 × 137,783.80
  4. Step 4: Simplify right side
    277,751.80x = 57,404,547,691.26
  5. Step 5: Solve for x
    x = 57,404,547,691.26/277,751.80
  6. Step 6: Final answer
    x = 206,675.70

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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.