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Finding the Fourth Proportional to 124,230.46, 186,190.16 and 97,830.94

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Solution

The fourth proportional to 124,230.46, 186,190.16 and 97,830.94 is: 146,623.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,230.46 : 186,190.16 = 97,830.94 : x
  2. Step 2: Convert to fraction form
    124,230.46/186,190.16 = 97,830.94/x
  3. Step 3: Cross multiply
    124,230.46x = 186,190.16 × 97,830.94
  4. Step 4: Simplify right side
    124,230.46x = 18,215,158,371.55
  5. Step 5: Solve for x
    x = 18,215,158,371.55/124,230.46
  6. Step 6: Final answer
    x = 146,623.93

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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.