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Finding the Fourth Proportional to 106,980.80, 160,816.80 and 76,030.40

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Solution

The fourth proportional to 106,980.80, 160,816.80 and 76,030.40 is: 114,291.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,980.80 : 160,816.80 = 76,030.40 : x
  2. Step 2: Convert to fraction form
    106,980.80/160,816.80 = 76,030.40/x
  3. Step 3: Cross multiply
    106,980.80x = 160,816.80 × 76,030.40
  4. Step 4: Simplify right side
    106,980.80x = 12,226,965,630.72
  5. Step 5: Solve for x
    x = 12,226,965,630.72/106,980.80
  6. Step 6: Final answer
    x = 114,291.22

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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.