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Finding the Fourth Proportional to 210,093.90, 314,878.04 and 104,942.22

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Solution

The fourth proportional to 210,093.90, 314,878.04 and 104,942.22 is: 157,282.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,093.90 : 314,878.04 = 104,942.22 : x
  2. Step 2: Convert to fraction form
    210,093.90/314,878.04 = 104,942.22/x
  3. Step 3: Cross multiply
    210,093.90x = 314,878.04 × 104,942.22
  4. Step 4: Simplify right side
    210,093.90x = 33,044,000,546.85
  5. Step 5: Solve for x
    x = 33,044,000,546.85/210,093.90
  6. Step 6: Final answer
    x = 157,282.06

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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.