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Finding the Fourth Proportional to 148,802.24, 205,347.68 and 80,820.35

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Solution

The fourth proportional to 148,802.24, 205,347.68 and 80,820.35 is: 111,532.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,802.24 : 205,347.68 = 80,820.35 : x
  2. Step 2: Convert to fraction form
    148,802.24/205,347.68 = 80,820.35/x
  3. Step 3: Cross multiply
    148,802.24x = 205,347.68 × 80,820.35
  4. Step 4: Simplify right side
    148,802.24x = 16,596,269,938.45
  5. Step 5: Solve for x
    x = 16,596,269,938.45/148,802.24
  6. Step 6: Final answer
    x = 111,532.39

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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.