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Finding the Fourth Proportional to 151,773, 209,431.77 and 83,785.56

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Solution

The fourth proportional to 151,773, 209,431.77 and 83,785.56 is: 115,615.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,773 : 209,431.77 = 83,785.56 : x
  2. Step 2: Convert to fraction form
    151,773/209,431.77 = 83,785.56/x
  3. Step 3: Cross multiply
    151,773x = 209,431.77 × 83,785.56
  4. Step 4: Simplify right side
    151,773x = 17,547,358,131.24
  5. Step 5: Solve for x
    x = 17,547,358,131.24/151,773
  6. Step 6: Final answer
    x = 115,615.81

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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.