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Finding the Fourth Proportional to 148,673.56, 205,339.79 and 97,913.19

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Solution

The fourth proportional to 148,673.56, 205,339.79 and 97,913.19 is: 135,232.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,673.56 : 205,339.79 = 97,913.19 : x
  2. Step 2: Convert to fraction form
    148,673.56/205,339.79 = 97,913.19/x
  3. Step 3: Cross multiply
    148,673.56x = 205,339.79 × 97,913.19
  4. Step 4: Simplify right side
    148,673.56x = 20,105,473,872.83
  5. Step 5: Solve for x
    x = 20,105,473,872.83/148,673.56
  6. Step 6: Final answer
    x = 135,232.34

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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.