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Finding the Fourth Proportional to 153,580.96, 230,355.86 and 41,246.58

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Solution

The fourth proportional to 153,580.96, 230,355.86 and 41,246.58 is: 61,865.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,580.96 : 230,355.86 = 41,246.58 : x
  2. Step 2: Convert to fraction form
    153,580.96/230,355.86 = 41,246.58/x
  3. Step 3: Cross multiply
    153,580.96x = 230,355.86 × 41,246.58
  4. Step 4: Simplify right side
    153,580.96x = 9,501,391,407.96
  5. Step 5: Solve for x
    x = 9,501,391,407.96/153,580.96
  6. Step 6: Final answer
    x = 61,865.69

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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.