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Finding the Fourth Proportional to 134,576, 201,838.08 and 45,828.80

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Solution

The fourth proportional to 134,576, 201,838.08 and 45,828.80 is: 68,734.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,576 : 201,838.08 = 45,828.80 : x
  2. Step 2: Convert to fraction form
    134,576/201,838.08 = 45,828.80/x
  3. Step 3: Cross multiply
    134,576x = 201,838.08 × 45,828.80
  4. Step 4: Simplify right side
    134,576x = 9,249,997,000.70
  5. Step 5: Solve for x
    x = 9,249,997,000.70/134,576
  6. Step 6: Final answer
    x = 68,734.37

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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.