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Finding the Fourth Proportional to 209,950.44, 314,830.86 and 60,156.42

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Solution

The fourth proportional to 209,950.44, 314,830.86 and 60,156.42 is: 90,207.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,950.44 : 314,830.86 = 60,156.42 : x
  2. Step 2: Convert to fraction form
    209,950.44/314,830.86 = 60,156.42/x
  3. Step 3: Cross multiply
    209,950.44x = 314,830.86 × 60,156.42
  4. Step 4: Simplify right side
    209,950.44x = 18,939,097,443.12
  5. Step 5: Solve for x
    x = 18,939,097,443.12/209,950.44
  6. Step 6: Final answer
    x = 90,207.47

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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.