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Finding the Fourth Proportional to 201,644.56, 302,430.12 and 59,460.40

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Solution

The fourth proportional to 201,644.56, 302,430.12 and 59,460.40 is: 89,179.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,644.56 : 302,430.12 = 59,460.40 : x
  2. Step 2: Convert to fraction form
    201,644.56/302,430.12 = 59,460.40/x
  3. Step 3: Cross multiply
    201,644.56x = 302,430.12 × 59,460.40
  4. Step 4: Simplify right side
    201,644.56x = 17,982,615,907.25
  5. Step 5: Solve for x
    x = 17,982,615,907.25/201,644.56
  6. Step 6: Final answer
    x = 89,179.77

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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.