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Finding the Fourth Proportional to 210,233.80, 314,832.30 and 139,731.40

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Solution

The fourth proportional to 210,233.80, 314,832.30 and 139,731.40 is: 209,252.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,233.80 : 314,832.30 = 139,731.40 : x
  2. Step 2: Convert to fraction form
    210,233.80/314,832.30 = 139,731.40/x
  3. Step 3: Cross multiply
    210,233.80x = 314,832.30 × 139,731.40
  4. Step 4: Simplify right side
    210,233.80x = 43,991,958,044.22
  5. Step 5: Solve for x
    x = 43,991,958,044.22/210,233.80
  6. Step 6: Final answer
    x = 209,252.55

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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.