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Finding the Fourth Proportional to 115,283, 159,090.54 and 64,983.80

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Solution

The fourth proportional to 115,283, 159,090.54 and 64,983.80 is: 89,677.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,283 : 159,090.54 = 64,983.80 : x
  2. Step 2: Convert to fraction form
    115,283/159,090.54 = 64,983.80/x
  3. Step 3: Cross multiply
    115,283x = 159,090.54 × 64,983.80
  4. Step 4: Simplify right side
    115,283x = 10,338,307,833.25
  5. Step 5: Solve for x
    x = 10,338,307,833.25/115,283
  6. Step 6: Final answer
    x = 89,677.64

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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.