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Finding the Fourth Proportional to 176,127.36, 264,177 and 49,762.50

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Solution

The fourth proportional to 176,127.36, 264,177 and 49,762.50 is: 74,639.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,127.36 : 264,177 = 49,762.50 : x
  2. Step 2: Convert to fraction form
    176,127.36/264,177 = 49,762.50/x
  3. Step 3: Cross multiply
    176,127.36x = 264,177 × 49,762.50
  4. Step 4: Simplify right side
    176,127.36x = 13,146,107,962.50
  5. Step 5: Solve for x
    x = 13,146,107,962.50/176,127.36
  6. Step 6: Final answer
    x = 74,639.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.