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Finding the Fourth Proportional to 284,368.79, 426,225.11 and 106,762.52

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Solution

The fourth proportional to 284,368.79, 426,225.11 and 106,762.52 is: 160,020.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,368.79 : 426,225.11 = 106,762.52 : x
  2. Step 2: Convert to fraction form
    284,368.79/426,225.11 = 106,762.52/x
  3. Step 3: Cross multiply
    284,368.79x = 426,225.11 × 106,762.52
  4. Step 4: Simplify right side
    284,368.79x = 45,504,867,362.63
  5. Step 5: Solve for x
    x = 45,504,867,362.63/284,368.79
  6. Step 6: Final answer
    x = 160,020.61

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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.