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Finding the Fourth Proportional to 147,575.86, 203,653.74 and 83,913.66

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Solution

The fourth proportional to 147,575.86, 203,653.74 and 83,913.66 is: 115,800.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,575.86 : 203,653.74 = 83,913.66 : x
  2. Step 2: Convert to fraction form
    147,575.86/203,653.74 = 83,913.66/x
  3. Step 3: Cross multiply
    147,575.86x = 203,653.74 × 83,913.66
  4. Step 4: Simplify right side
    147,575.86x = 17,089,330,696.09
  5. Step 5: Solve for x
    x = 17,089,330,696.09/147,575.86
  6. Step 6: Final answer
    x = 115,800.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.