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Finding the Fourth Proportional to 227,842.12, 341,569.31 and 139,157.84

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Solution

The fourth proportional to 227,842.12, 341,569.31 and 139,157.84 is: 208,618.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,842.12 : 341,569.31 = 139,157.84 : x
  2. Step 2: Convert to fraction form
    227,842.12/341,569.31 = 139,157.84/x
  3. Step 3: Cross multiply
    227,842.12x = 341,569.31 × 139,157.84
  4. Step 4: Simplify right side
    227,842.12x = 47,532,047,389.89
  5. Step 5: Solve for x
    x = 47,532,047,389.89/227,842.12
  6. Step 6: Final answer
    x = 208,618.35

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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.