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Finding the Fourth Proportional to 127,328.58, 190,927.17 and 57,147.84

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Solution

The fourth proportional to 127,328.58, 190,927.17 and 57,147.84 is: 85,692.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,328.58 : 190,927.17 = 57,147.84 : x
  2. Step 2: Convert to fraction form
    127,328.58/190,927.17 = 57,147.84/x
  3. Step 3: Cross multiply
    127,328.58x = 190,927.17 × 57,147.84
  4. Step 4: Simplify right side
    127,328.58x = 10,911,075,362.81
  5. Step 5: Solve for x
    x = 10,911,075,362.81/127,328.58
  6. Step 6: Final answer
    x = 85,692.27

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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.