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Finding the Fourth Proportional to 178,047.93, 245,709.23 and 97,474.17

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Solution

The fourth proportional to 178,047.93, 245,709.23 and 97,474.17 is: 134,516.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,047.93 : 245,709.23 = 97,474.17 : x
  2. Step 2: Convert to fraction form
    178,047.93/245,709.23 = 97,474.17/x
  3. Step 3: Cross multiply
    178,047.93x = 245,709.23 × 97,474.17
  4. Step 4: Simplify right side
    178,047.93x = 23,950,302,768.22
  5. Step 5: Solve for x
    x = 23,950,302,768.22/178,047.93
  6. Step 6: Final answer
    x = 134,516.04

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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.