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Finding the Fourth Proportional to 148,465.64, 204,893.45 and 84,802.07

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Solution

The fourth proportional to 148,465.64, 204,893.45 and 84,802.07 is: 117,033.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,465.64 : 204,893.45 = 84,802.07 : x
  2. Step 2: Convert to fraction form
    148,465.64/204,893.45 = 84,802.07/x
  3. Step 3: Cross multiply
    148,465.64x = 204,893.45 × 84,802.07
  4. Step 4: Simplify right side
    148,465.64x = 17,375,389,095.67
  5. Step 5: Solve for x
    x = 17,375,389,095.67/148,465.64
  6. Step 6: Final answer
    x = 117,033.06

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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.