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Finding the Fourth Proportional to 70,477.60, 105,802.80 and 69,959.20

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Solution

The fourth proportional to 70,477.60, 105,802.80 and 69,959.20 is: 105,024.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,477.60 : 105,802.80 = 69,959.20 : x
  2. Step 2: Convert to fraction form
    70,477.60/105,802.80 = 69,959.20/x
  3. Step 3: Cross multiply
    70,477.60x = 105,802.80 × 69,959.20
  4. Step 4: Simplify right side
    70,477.60x = 7,401,879,245.76
  5. Step 5: Solve for x
    x = 7,401,879,245.76/70,477.60
  6. Step 6: Final answer
    x = 105,024.56

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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.