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Finding the Fourth Proportional to 148,967.80, 223,430.10 and 43,775.80

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Solution

The fourth proportional to 148,967.80, 223,430.10 and 43,775.80 is: 65,657.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,967.80 : 223,430.10 = 43,775.80 : x
  2. Step 2: Convert to fraction form
    148,967.80/223,430.10 = 43,775.80/x
  3. Step 3: Cross multiply
    148,967.80x = 223,430.10 × 43,775.80
  4. Step 4: Simplify right side
    148,967.80x = 9,780,831,371.58
  5. Step 5: Solve for x
    x = 9,780,831,371.58/148,967.80
  6. Step 6: Final answer
    x = 65,657.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.