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Finding the Fourth Proportional to 201,055.10, 301,237.05 and 130,898.30

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Solution

The fourth proportional to 201,055.10, 301,237.05 and 130,898.30 is: 196,122.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,055.10 : 301,237.05 = 130,898.30 : x
  2. Step 2: Convert to fraction form
    201,055.10/301,237.05 = 130,898.30/x
  3. Step 3: Cross multiply
    201,055.10x = 301,237.05 × 130,898.30
  4. Step 4: Simplify right side
    201,055.10x = 39,431,417,742.02
  5. Step 5: Solve for x
    x = 39,431,417,742.02/201,055.10
  6. Step 6: Final answer
    x = 196,122.44

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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.