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Finding the Fourth Proportional to 200,748.34, 301,027.19 and 116,534.34

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Solution

The fourth proportional to 200,748.34, 301,027.19 and 116,534.34 is: 174,746.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,748.34 : 301,027.19 = 116,534.34 : x
  2. Step 2: Convert to fraction form
    200,748.34/301,027.19 = 116,534.34/x
  3. Step 3: Cross multiply
    200,748.34x = 301,027.19 × 116,534.34
  4. Step 4: Simplify right side
    200,748.34x = 35,080,004,908.70
  5. Step 5: Solve for x
    x = 35,080,004,908.70/200,748.34
  6. Step 6: Final answer
    x = 174,746.18

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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.