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Finding the Fourth Proportional to 119,156.16, 178,734.08 and 30,409.66

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Solution

The fourth proportional to 119,156.16, 178,734.08 and 30,409.66 is: 45,614.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,156.16 : 178,734.08 = 30,409.66 : x
  2. Step 2: Convert to fraction form
    119,156.16/178,734.08 = 30,409.66/x
  3. Step 3: Cross multiply
    119,156.16x = 178,734.08 × 30,409.66
  4. Step 4: Simplify right side
    119,156.16x = 5,435,242,603.21
  5. Step 5: Solve for x
    x = 5,435,242,603.21/119,156.16
  6. Step 6: Final answer
    x = 45,614.45

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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.