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Finding the Fourth Proportional to 301,792.55, 452,687.91 and 77,153.02

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Solution

The fourth proportional to 301,792.55, 452,687.91 and 77,153.02 is: 115,729.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,792.55 : 452,687.91 = 77,153.02 : x
  2. Step 2: Convert to fraction form
    301,792.55/452,687.91 = 77,153.02/x
  3. Step 3: Cross multiply
    301,792.55x = 452,687.91 × 77,153.02
  4. Step 4: Simplify right side
    301,792.55x = 34,926,237,952.94
  5. Step 5: Solve for x
    x = 34,926,237,952.94/301,792.55
  6. Step 6: Final answer
    x = 115,729.29

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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.