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Finding the Fourth Proportional to 301,642.83, 452,522.58 and 114,639.75

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Solution

The fourth proportional to 301,642.83, 452,522.58 and 114,639.75 is: 171,981.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,642.83 : 452,522.58 = 114,639.75 : x
  2. Step 2: Convert to fraction form
    301,642.83/452,522.58 = 114,639.75/x
  3. Step 3: Cross multiply
    301,642.83x = 452,522.58 × 114,639.75
  4. Step 4: Simplify right side
    301,642.83x = 51,877,075,440.56
  5. Step 5: Solve for x
    x = 51,877,075,440.56/301,642.83
  6. Step 6: Final answer
    x = 171,981.80

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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.