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Finding the Fourth Proportional to 213,802.68, 320,755.86 and 64,042.68

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Solution

The fourth proportional to 213,802.68, 320,755.86 and 64,042.68 is: 96,079.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,802.68 : 320,755.86 = 64,042.68 : x
  2. Step 2: Convert to fraction form
    213,802.68/320,755.86 = 64,042.68/x
  3. Step 3: Cross multiply
    213,802.68x = 320,755.86 × 64,042.68
  4. Step 4: Simplify right side
    213,802.68x = 20,542,064,900.10
  5. Step 5: Solve for x
    x = 20,542,064,900.10/213,802.68
  6. Step 6: Final answer
    x = 96,079.55

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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.