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Finding the Fourth Proportional to 201,200.10, 301,840.65 and 59,045.10

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Solution

The fourth proportional to 201,200.10, 301,840.65 and 59,045.10 is: 88,579.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,200.10 : 301,840.65 = 59,045.10 : x
  2. Step 2: Convert to fraction form
    201,200.10/301,840.65 = 59,045.10/x
  3. Step 3: Cross multiply
    201,200.10x = 301,840.65 × 59,045.10
  4. Step 4: Simplify right side
    201,200.10x = 17,822,211,363.32
  5. Step 5: Solve for x
    x = 17,822,211,363.32/201,200.10
  6. Step 6: Final answer
    x = 88,579.54

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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.