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Finding the Fourth Proportional to 146,507.67, 202,107.51 and 98,677.98

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Solution

The fourth proportional to 146,507.67, 202,107.51 and 98,677.98 is: 136,126.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,507.67 : 202,107.51 = 98,677.98 : x
  2. Step 2: Convert to fraction form
    146,507.67/202,107.51 = 98,677.98/x
  3. Step 3: Cross multiply
    146,507.67x = 202,107.51 × 98,677.98
  4. Step 4: Simplify right side
    146,507.67x = 19,943,560,829.63
  5. Step 5: Solve for x
    x = 19,943,560,829.63/146,507.67
  6. Step 6: Final answer
    x = 136,126.39

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Why These Related Problems?

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