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Finding the Fourth Proportional to 262,225.42, 361,867.44 and 147,495.40

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Solution

The fourth proportional to 262,225.42, 361,867.44 and 147,495.40 is: 203,541.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,225.42 : 361,867.44 = 147,495.40 : x
  2. Step 2: Convert to fraction form
    262,225.42/361,867.44 = 147,495.40/x
  3. Step 3: Cross multiply
    262,225.42x = 361,867.44 × 147,495.40
  4. Step 4: Simplify right side
    262,225.42x = 53,373,782,809.78
  5. Step 5: Solve for x
    x = 53,373,782,809.78/262,225.42
  6. Step 6: Final answer
    x = 203,541.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.