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Finding the Fourth Proportional to 141,307, 195,003.14 and 76,775.80

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Solution

The fourth proportional to 141,307, 195,003.14 and 76,775.80 is: 105,950.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,307 : 195,003.14 = 76,775.80 : x
  2. Step 2: Convert to fraction form
    141,307/195,003.14 = 76,775.80/x
  3. Step 3: Cross multiply
    141,307x = 195,003.14 × 76,775.80
  4. Step 4: Simplify right side
    141,307x = 14,971,522,076.01
  5. Step 5: Solve for x
    x = 14,971,522,076.01/141,307
  6. Step 6: Final answer
    x = 105,950.32

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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.