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Finding the Fourth Proportional to 122,339.34, 183,541.80 and 97,473.12

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Solution

The fourth proportional to 122,339.34, 183,541.80 and 97,473.12 is: 146,235.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,339.34 : 183,541.80 = 97,473.12 : x
  2. Step 2: Convert to fraction form
    122,339.34/183,541.80 = 97,473.12/x
  3. Step 3: Cross multiply
    122,339.34x = 183,541.80 × 97,473.12
  4. Step 4: Simplify right side
    122,339.34x = 17,890,391,896.42
  5. Step 5: Solve for x
    x = 17,890,391,896.42/122,339.34
  6. Step 6: Final answer
    x = 146,235.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.