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Finding the Fourth Proportional to 178,004.94, 245,647.18 and 97,437.61

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Solution

The fourth proportional to 178,004.94, 245,647.18 and 97,437.61 is: 134,464.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,004.94 : 245,647.18 = 97,437.61 : x
  2. Step 2: Convert to fraction form
    178,004.94/245,647.18 = 97,437.61/x
  3. Step 3: Cross multiply
    178,004.94x = 245,647.18 × 97,437.61
  4. Step 4: Simplify right side
    178,004.94x = 23,935,273,860.41
  5. Step 5: Solve for x
    x = 23,935,273,860.41/178,004.94
  6. Step 6: Final answer
    x = 134,464.10

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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.