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Finding the Fourth Proportional to 106,978.40, 160,582.80 and 60,322.40

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Solution

The fourth proportional to 106,978.40, 160,582.80 and 60,322.40 is: 90,548.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,978.40 : 160,582.80 = 60,322.40 : x
  2. Step 2: Convert to fraction form
    106,978.40/160,582.80 = 60,322.40/x
  3. Step 3: Cross multiply
    106,978.40x = 160,582.80 × 60,322.40
  4. Step 4: Simplify right side
    106,978.40x = 9,686,739,894.72
  5. Step 5: Solve for x
    x = 9,686,739,894.72/106,978.40
  6. Step 6: Final answer
    x = 90,548.56

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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.