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Finding the Fourth Proportional to 148,954.50, 205,732.71 and 98,566.02

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Solution

The fourth proportional to 148,954.50, 205,732.71 and 98,566.02 is: 136,137.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,954.50 : 205,732.71 = 98,566.02 : x
  2. Step 2: Convert to fraction form
    148,954.50/205,732.71 = 98,566.02/x
  3. Step 3: Cross multiply
    148,954.50x = 205,732.71 × 98,566.02
  4. Step 4: Simplify right side
    148,954.50x = 20,278,254,408.51
  5. Step 5: Solve for x
    x = 20,278,254,408.51/148,954.50
  6. Step 6: Final answer
    x = 136,137.24

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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.