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Finding the Fourth Proportional to 147,751.20, 221,314.80 and 97,855.20

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Solution

The fourth proportional to 147,751.20, 221,314.80 and 97,855.20 is: 146,576.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,751.20 : 221,314.80 = 97,855.20 : x
  2. Step 2: Convert to fraction form
    147,751.20/221,314.80 = 97,855.20/x
  3. Step 3: Cross multiply
    147,751.20x = 221,314.80 × 97,855.20
  4. Step 4: Simplify right side
    147,751.20x = 21,656,804,016.96
  5. Step 5: Solve for x
    x = 21,656,804,016.96/147,751.20
  6. Step 6: Final answer
    x = 146,576.16

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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.