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Finding the Fourth Proportional to 141,533.37, 195,403.32 and 97,407

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Solution

The fourth proportional to 141,533.37, 195,403.32 and 97,407 is: 134,481.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,533.37 : 195,403.32 = 97,407 : x
  2. Step 2: Convert to fraction form
    141,533.37/195,403.32 = 97,407/x
  3. Step 3: Cross multiply
    141,533.37x = 195,403.32 × 97,407
  4. Step 4: Simplify right side
    141,533.37x = 19,033,651,191.24
  5. Step 5: Solve for x
    x = 19,033,651,191.24/141,533.37
  6. Step 6: Final answer
    x = 134,481.72

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