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Finding the Fourth Proportional to 238,666.56, 357,981 and 138,762.96

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Solution

The fourth proportional to 238,666.56, 357,981 and 138,762.96 is: 208,133.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,666.56 : 357,981 = 138,762.96 : x
  2. Step 2: Convert to fraction form
    238,666.56/357,981 = 138,762.96/x
  3. Step 3: Cross multiply
    238,666.56x = 357,981 × 138,762.96
  4. Step 4: Simplify right side
    238,666.56x = 49,674,503,183.76
  5. Step 5: Solve for x
    x = 49,674,503,183.76/238,666.56
  6. Step 6: Final answer
    x = 208,133.49

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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.