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Finding the Fourth Proportional to 100,090, 138,148.80 and 57,673.14

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Solution

The fourth proportional to 100,090, 138,148.80 and 57,673.14 is: 79,603.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,090 : 138,148.80 = 57,673.14 : x
  2. Step 2: Convert to fraction form
    100,090/138,148.80 = 57,673.14/x
  3. Step 3: Cross multiply
    100,090x = 138,148.80 × 57,673.14
  4. Step 4: Simplify right side
    100,090x = 7,967,475,083.23
  5. Step 5: Solve for x
    x = 7,967,475,083.23/100,090
  6. Step 6: Final answer
    x = 79,603.11

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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.