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Finding the Fourth Proportional to 148,307.25, 204,664.01 and 84,643.68

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Solution

The fourth proportional to 148,307.25, 204,664.01 and 84,643.68 is: 116,808.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,307.25 : 204,664.01 = 84,643.68 : x
  2. Step 2: Convert to fraction form
    148,307.25/204,664.01 = 84,643.68/x
  3. Step 3: Cross multiply
    148,307.25x = 204,664.01 × 84,643.68
  4. Step 4: Simplify right side
    148,307.25x = 17,323,514,546.74
  5. Step 5: Solve for x
    x = 17,323,514,546.74/148,307.25
  6. Step 6: Final answer
    x = 116,808.28

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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.