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Finding the Fourth Proportional to 277,547.14, 416,335.85 and 87,993.80

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Solution

The fourth proportional to 277,547.14, 416,335.85 and 87,993.80 is: 131,995.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,547.14 : 416,335.85 = 87,993.80 : x
  2. Step 2: Convert to fraction form
    277,547.14/416,335.85 = 87,993.80/x
  3. Step 3: Cross multiply
    277,547.14x = 416,335.85 × 87,993.80
  4. Step 4: Simplify right side
    277,547.14x = 36,634,971,161.07
  5. Step 5: Solve for x
    x = 36,634,971,161.07/277,547.14
  6. Step 6: Final answer
    x = 131,995.49

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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.