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Finding the Fourth Proportional to 522,102.94, 783,285.64 and 148,125.94

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Solution

The fourth proportional to 522,102.94, 783,285.64 and 148,125.94 is: 222,226.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,102.94 : 783,285.64 = 148,125.94 : x
  2. Step 2: Convert to fraction form
    522,102.94/783,285.64 = 148,125.94/x
  3. Step 3: Cross multiply
    522,102.94x = 783,285.64 × 148,125.94
  4. Step 4: Simplify right side
    522,102.94x = 116,024,919,384.97
  5. Step 5: Solve for x
    x = 116,024,919,384.97/522,102.94
  6. Step 6: Final answer
    x = 222,226.14

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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.