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Finding the Fourth Proportional to 178,113.74, 245,797.74 and 97,541.82

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Solution

The fourth proportional to 178,113.74, 245,797.74 and 97,541.82 is: 134,608.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,113.74 : 245,797.74 = 97,541.82 : x
  2. Step 2: Convert to fraction form
    178,113.74/245,797.74 = 97,541.82/x
  3. Step 3: Cross multiply
    178,113.74x = 245,797.74 × 97,541.82
  4. Step 4: Simplify right side
    178,113.74x = 23,975,558,911.49
  5. Step 5: Solve for x
    x = 23,975,558,911.49/178,113.74
  6. Step 6: Final answer
    x = 134,608.14

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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.