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Finding the Fourth Proportional to 165,997.98, 249,059.88 and 99,485.84

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Solution

The fourth proportional to 165,997.98, 249,059.88 and 99,485.84 is: 149,266.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,997.98 : 249,059.88 = 99,485.84 : x
  2. Step 2: Convert to fraction form
    165,997.98/249,059.88 = 99,485.84/x
  3. Step 3: Cross multiply
    165,997.98x = 249,059.88 × 99,485.84
  4. Step 4: Simplify right side
    165,997.98x = 24,777,931,372.10
  5. Step 5: Solve for x
    x = 24,777,931,372.10/165,997.98
  6. Step 6: Final answer
    x = 149,266.46

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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.