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Finding the Fourth Proportional to 289,075.89, 398,914.71 and 160,019.98

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Solution

The fourth proportional to 289,075.89, 398,914.71 and 160,019.98 is: 220,822.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,075.89 : 398,914.71 = 160,019.98 : x
  2. Step 2: Convert to fraction form
    289,075.89/398,914.71 = 160,019.98/x
  3. Step 3: Cross multiply
    289,075.89x = 398,914.71 × 160,019.98
  4. Step 4: Simplify right side
    289,075.89x = 63,834,323,915.91
  5. Step 5: Solve for x
    x = 63,834,323,915.91/289,075.89
  6. Step 6: Final answer
    x = 220,822.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.