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Finding the Fourth Proportional to 178,460.81, 246,271.69 and 97,887.61

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Solution

The fourth proportional to 178,460.81, 246,271.69 and 97,887.61 is: 135,082.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,460.81 : 246,271.69 = 97,887.61 : x
  2. Step 2: Convert to fraction form
    178,460.81/246,271.69 = 97,887.61/x
  3. Step 3: Cross multiply
    178,460.81x = 246,271.69 × 97,887.61
  4. Step 4: Simplify right side
    178,460.81x = 24,106,947,144.76
  5. Step 5: Solve for x
    x = 24,106,947,144.76/178,460.81
  6. Step 6: Final answer
    x = 135,082.58

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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.