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Finding the Fourth Proportional to 192,806.64, 266,075.96 and 111,089.84

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Solution

The fourth proportional to 192,806.64, 266,075.96 and 111,089.84 is: 153,305.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,806.64 : 266,075.96 = 111,089.84 : x
  2. Step 2: Convert to fraction form
    192,806.64/266,075.96 = 111,089.84/x
  3. Step 3: Cross multiply
    192,806.64x = 266,075.96 × 111,089.84
  4. Step 4: Simplify right side
    192,806.64x = 29,558,333,938.42
  5. Step 5: Solve for x
    x = 29,558,333,938.42/192,806.64
  6. Step 6: Final answer
    x = 153,305.58

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Why These Related Problems?

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