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Finding the Fourth Proportional to 340,975.63, 511,315.22 and 97,763.14

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Solution

The fourth proportional to 340,975.63, 511,315.22 and 97,763.14 is: 146,602.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,975.63 : 511,315.22 = 97,763.14 : x
  2. Step 2: Convert to fraction form
    340,975.63/511,315.22 = 97,763.14/x
  3. Step 3: Cross multiply
    340,975.63x = 511,315.22 × 97,763.14
  4. Step 4: Simplify right side
    340,975.63x = 49,987,780,403.11
  5. Step 5: Solve for x
    x = 49,987,780,403.11/340,975.63
  6. Step 6: Final answer
    x = 146,602.21

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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.