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Finding the Fourth Proportional to 130,522.97, 195,784.60 and 35,753.97

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Solution

The fourth proportional to 130,522.97, 195,784.60 and 35,753.97 is: 53,630.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,522.97 : 195,784.60 = 35,753.97 : x
  2. Step 2: Convert to fraction form
    130,522.97/195,784.60 = 35,753.97/x
  3. Step 3: Cross multiply
    130,522.97x = 195,784.60 × 35,753.97
  4. Step 4: Simplify right side
    130,522.97x = 7,000,075,825.32
  5. Step 5: Solve for x
    x = 7,000,075,825.32/130,522.97
  6. Step 6: Final answer
    x = 53,630.99

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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.