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Finding the Fourth Proportional to 200,010.20, 299,237.70 and 130,026.20

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Solution

The fourth proportional to 200,010.20, 299,237.70 and 130,026.20 is: 194,533.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,010.20 : 299,237.70 = 130,026.20 : x
  2. Step 2: Convert to fraction form
    200,010.20/299,237.70 = 130,026.20/x
  3. Step 3: Cross multiply
    200,010.20x = 299,237.70 × 130,026.20
  4. Step 4: Simplify right side
    200,010.20x = 38,908,741,027.74
  5. Step 5: Solve for x
    x = 38,908,741,027.74/200,010.20
  6. Step 6: Final answer
    x = 194,533.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.