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Finding the Fourth Proportional to 204,098.60, 305,849.10 and 183,038.60

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Solution

The fourth proportional to 204,098.60, 305,849.10 and 183,038.60 is: 274,289.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,098.60 : 305,849.10 = 183,038.60 : x
  2. Step 2: Convert to fraction form
    204,098.60/305,849.10 = 183,038.60/x
  3. Step 3: Cross multiply
    204,098.60x = 305,849.10 × 183,038.60
  4. Step 4: Simplify right side
    204,098.60x = 55,982,191,075.26
  5. Step 5: Solve for x
    x = 55,982,191,075.26/204,098.60
  6. Step 6: Final answer
    x = 274,289.93

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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.