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Finding the Fourth Proportional to 194,615.93, 268,595.79 and 114,075.20

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Solution

The fourth proportional to 194,615.93, 268,595.79 and 114,075.20 is: 157,438.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,615.93 : 268,595.79 = 114,075.20 : x
  2. Step 2: Convert to fraction form
    194,615.93/268,595.79 = 114,075.20/x
  3. Step 3: Cross multiply
    194,615.93x = 268,595.79 × 114,075.20
  4. Step 4: Simplify right side
    194,615.93x = 30,640,118,463.41
  5. Step 5: Solve for x
    x = 30,640,118,463.41/194,615.93
  6. Step 6: Final answer
    x = 157,438.90

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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.