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Finding the Fourth Proportional to 148,630.82, 205,280.87 and 97,870.46

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Solution

The fourth proportional to 148,630.82, 205,280.87 and 97,870.46 is: 135,173.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,630.82 : 205,280.87 = 97,870.46 : x
  2. Step 2: Convert to fraction form
    148,630.82/205,280.87 = 97,870.46/x
  3. Step 3: Cross multiply
    148,630.82x = 205,280.87 × 97,870.46
  4. Step 4: Simplify right side
    148,630.82x = 20,090,931,660.34
  5. Step 5: Solve for x
    x = 20,090,931,660.34/148,630.82
  6. Step 6: Final answer
    x = 135,173.39

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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.