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Finding the Fourth Proportional to 183,666, 253,438.80 and 103,075.04

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Solution

The fourth proportional to 183,666, 253,438.80 and 103,075.04 is: 142,232.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,666 : 253,438.80 = 103,075.04 : x
  2. Step 2: Convert to fraction form
    183,666/253,438.80 = 103,075.04/x
  3. Step 3: Cross multiply
    183,666x = 253,438.80 × 103,075.04
  4. Step 4: Simplify right side
    183,666x = 26,123,214,447.55
  5. Step 5: Solve for x
    x = 26,123,214,447.55/183,666
  6. Step 6: Final answer
    x = 142,232.17

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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.