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Finding the Fourth Proportional to 176,142.14, 264,227.47 and 49,783.41

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Solution

The fourth proportional to 176,142.14, 264,227.47 and 49,783.41 is: 74,679.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,142.14 : 264,227.47 = 49,783.41 : x
  2. Step 2: Convert to fraction form
    176,142.14/264,227.47 = 49,783.41/x
  3. Step 3: Cross multiply
    176,142.14x = 264,227.47 × 49,783.41
  4. Step 4: Simplify right side
    176,142.14x = 13,154,144,347.81
  5. Step 5: Solve for x
    x = 13,154,144,347.81/176,142.14
  6. Step 6: Final answer
    x = 74,679.14

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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.