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Finding the Fourth Proportional to 176,117.32, 264,216.24 and 76,294.12

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Solution

The fourth proportional to 176,117.32, 264,216.24 and 76,294.12 is: 114,458.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,117.32 : 264,216.24 = 76,294.12 : x
  2. Step 2: Convert to fraction form
    176,117.32/264,216.24 = 76,294.12/x
  3. Step 3: Cross multiply
    176,117.32x = 264,216.24 × 76,294.12
  4. Step 4: Simplify right side
    176,117.32x = 20,158,145,520.51
  5. Step 5: Solve for x
    x = 20,158,145,520.51/176,117.32
  6. Step 6: Final answer
    x = 114,458.62

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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.