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Finding the Fourth Proportional to 99,146, 136,938.12 and 67,259.54

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Solution

The fourth proportional to 99,146, 136,938.12 and 67,259.54 is: 92,897.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,146 : 136,938.12 = 67,259.54 : x
  2. Step 2: Convert to fraction form
    99,146/136,938.12 = 67,259.54/x
  3. Step 3: Cross multiply
    99,146x = 136,938.12 × 67,259.54
  4. Step 4: Simplify right side
    99,146x = 9,210,394,959.66
  5. Step 5: Solve for x
    x = 9,210,394,959.66/99,146
  6. Step 6: Final answer
    x = 92,897.29

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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.