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Finding the Fourth Proportional to 208,378, 287,561.64 and 112,884.67

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Solution

The fourth proportional to 208,378, 287,561.64 and 112,884.67 is: 155,780.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,378 : 287,561.64 = 112,884.67 : x
  2. Step 2: Convert to fraction form
    208,378/287,561.64 = 112,884.67/x
  3. Step 3: Cross multiply
    208,378x = 287,561.64 × 112,884.67
  4. Step 4: Simplify right side
    208,378x = 32,461,300,836.06
  5. Step 5: Solve for x
    x = 32,461,300,836.06/208,378
  6. Step 6: Final answer
    x = 155,780.84

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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.