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Finding the Fourth Proportional to 217,271.80, 325,907.70 and 105,038.20

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Solution

The fourth proportional to 217,271.80, 325,907.70 and 105,038.20 is: 157,557.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,271.80 : 325,907.70 = 105,038.20 : x
  2. Step 2: Convert to fraction form
    217,271.80/325,907.70 = 105,038.20/x
  3. Step 3: Cross multiply
    217,271.80x = 325,907.70 × 105,038.20
  4. Step 4: Simplify right side
    217,271.80x = 34,232,758,174.14
  5. Step 5: Solve for x
    x = 34,232,758,174.14/217,271.80
  6. Step 6: Final answer
    x = 157,557.30

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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.