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Finding the Fourth Proportional to 176,050.48, 264,057 and 49,687.60

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Solution

The fourth proportional to 176,050.48, 264,057 and 49,687.60 is: 74,526.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,050.48 : 264,057 = 49,687.60 : x
  2. Step 2: Convert to fraction form
    176,050.48/264,057 = 49,687.60/x
  3. Step 3: Cross multiply
    176,050.48x = 264,057 × 49,687.60
  4. Step 4: Simplify right side
    176,050.48x = 13,120,358,593.20
  5. Step 5: Solve for x
    x = 13,120,358,593.20/176,050.48
  6. Step 6: Final answer
    x = 74,526.12

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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.