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Finding the Fourth Proportional to 176,232.76, 264,376.68 and 57,877.12

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Solution

The fourth proportional to 176,232.76, 264,376.68 and 57,877.12 is: 86,824.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,232.76 : 264,376.68 = 57,877.12 : x
  2. Step 2: Convert to fraction form
    176,232.76/264,376.68 = 57,877.12/x
  3. Step 3: Cross multiply
    176,232.76x = 264,376.68 × 57,877.12
  4. Step 4: Simplify right side
    176,232.76x = 15,301,360,833.56
  5. Step 5: Solve for x
    x = 15,301,360,833.56/176,232.76
  6. Step 6: Final answer
    x = 86,824.72

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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.