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Finding the Fourth Proportional to 148,483.83, 204,859.49 and 83,946.81

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Solution

The fourth proportional to 148,483.83, 204,859.49 and 83,946.81 is: 115,819.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,483.83 : 204,859.49 = 83,946.81 : x
  2. Step 2: Convert to fraction form
    148,483.83/204,859.49 = 83,946.81/x
  3. Step 3: Cross multiply
    148,483.83x = 204,859.49 × 83,946.81
  4. Step 4: Simplify right side
    148,483.83x = 17,197,300,263.99
  5. Step 5: Solve for x
    x = 17,197,300,263.99/148,483.83
  6. Step 6: Final answer
    x = 115,819.35

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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.