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Finding the Fourth Proportional to 213,137.88, 294,024.12 and 148,742.16

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Solution

The fourth proportional to 213,137.88, 294,024.12 and 148,742.16 is: 205,190.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,137.88 : 294,024.12 = 148,742.16 : x
  2. Step 2: Convert to fraction form
    213,137.88/294,024.12 = 148,742.16/x
  3. Step 3: Cross multiply
    213,137.88x = 294,024.12 × 148,742.16
  4. Step 4: Simplify right side
    213,137.88x = 43,733,782,700.90
  5. Step 5: Solve for x
    x = 43,733,782,700.90/213,137.88
  6. Step 6: Final answer
    x = 205,190.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.