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Finding the Fourth Proportional to 299,756.88, 449,705.97 and 97,352.30

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Solution

The fourth proportional to 299,756.88, 449,705.97 and 97,352.30 is: 146,051.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,756.88 : 449,705.97 = 97,352.30 : x
  2. Step 2: Convert to fraction form
    299,756.88/449,705.97 = 97,352.30/x
  3. Step 3: Cross multiply
    299,756.88x = 449,705.97 × 97,352.30
  4. Step 4: Simplify right side
    299,756.88x = 43,779,908,254.70
  5. Step 5: Solve for x
    x = 43,779,908,254.70/299,756.88
  6. Step 6: Final answer
    x = 146,051.39

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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.