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Finding the Fourth Proportional to 275,526.89, 413,448.02 and 107,025.42

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Solution

The fourth proportional to 275,526.89, 413,448.02 and 107,025.42 is: 160,599.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,526.89 : 413,448.02 = 107,025.42 : x
  2. Step 2: Convert to fraction form
    275,526.89/413,448.02 = 107,025.42/x
  3. Step 3: Cross multiply
    275,526.89x = 413,448.02 × 107,025.42
  4. Step 4: Simplify right side
    275,526.89x = 44,249,447,988.67
  5. Step 5: Solve for x
    x = 44,249,447,988.67/275,526.89
  6. Step 6: Final answer
    x = 160,599.38

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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.