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Finding the Fourth Proportional to 178,369.12, 246,152.16 and 97,804

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Solution

The fourth proportional to 178,369.12, 246,152.16 and 97,804 is: 134,971.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,369.12 : 246,152.16 = 97,804 : x
  2. Step 2: Convert to fraction form
    178,369.12/246,152.16 = 97,804/x
  3. Step 3: Cross multiply
    178,369.12x = 246,152.16 × 97,804
  4. Step 4: Simplify right side
    178,369.12x = 24,074,665,856.64
  5. Step 5: Solve for x
    x = 24,074,665,856.64/178,369.12
  6. Step 6: Final answer
    x = 134,971.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.