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Finding the Fourth Proportional to 244,155.20, 365,941.20 and 102,000.20

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Solution

The fourth proportional to 244,155.20, 365,941.20 and 102,000.20 is: 152,878.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,155.20 : 365,941.20 = 102,000.20 : x
  2. Step 2: Convert to fraction form
    244,155.20/365,941.20 = 102,000.20/x
  3. Step 3: Cross multiply
    244,155.20x = 365,941.20 × 102,000.20
  4. Step 4: Simplify right side
    244,155.20x = 37,326,075,588.24
  5. Step 5: Solve for x
    x = 37,326,075,588.24/244,155.20
  6. Step 6: Final answer
    x = 152,878.48

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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.