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Finding the Fourth Proportional to 148,602.42, 205,071.32 and 84,941.59

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Solution

The fourth proportional to 148,602.42, 205,071.32 and 84,941.59 is: 117,219.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,602.42 : 205,071.32 = 84,941.59 : x
  2. Step 2: Convert to fraction form
    148,602.42/205,071.32 = 84,941.59/x
  3. Step 3: Cross multiply
    148,602.42x = 205,071.32 × 84,941.59
  4. Step 4: Simplify right side
    148,602.42x = 17,419,083,683.87
  5. Step 5: Solve for x
    x = 17,419,083,683.87/148,602.42
  6. Step 6: Final answer
    x = 117,219.38

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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.