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Finding the Fourth Proportional to 252,130.40, 347,935.92 and 144,697.94

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Solution

The fourth proportional to 252,130.40, 347,935.92 and 144,697.94 is: 199,680.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,130.40 : 347,935.92 = 144,697.94 : x
  2. Step 2: Convert to fraction form
    252,130.40/347,935.92 = 144,697.94/x
  3. Step 3: Cross multiply
    252,130.40x = 347,935.92 × 144,697.94
  4. Step 4: Simplify right side
    252,130.40x = 50,345,610,876.00
  5. Step 5: Solve for x
    x = 50,345,610,876.00/252,130.40
  6. Step 6: Final answer
    x = 199,680.84

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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.