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Finding the Fourth Proportional to 253,384.56, 380,168.40 and 118,567.44

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Solution

The fourth proportional to 253,384.56, 380,168.40 and 118,567.44 is: 177,894.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,384.56 : 380,168.40 = 118,567.44 : x
  2. Step 2: Convert to fraction form
    253,384.56/380,168.40 = 118,567.44/x
  3. Step 3: Cross multiply
    253,384.56x = 380,168.40 × 118,567.44
  4. Step 4: Simplify right side
    253,384.56x = 45,075,593,956.90
  5. Step 5: Solve for x
    x = 45,075,593,956.90/253,384.56
  6. Step 6: Final answer
    x = 177,894.00

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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.