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Finding the Fourth Proportional to 114,421.60, 171,632.40 and 106,645.60

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Solution

The fourth proportional to 114,421.60, 171,632.40 and 106,645.60 is: 159,968.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,421.60 : 171,632.40 = 106,645.60 : x
  2. Step 2: Convert to fraction form
    114,421.60/171,632.40 = 106,645.60/x
  3. Step 3: Cross multiply
    114,421.60x = 171,632.40 × 106,645.60
  4. Step 4: Simplify right side
    114,421.60x = 18,303,840,277.44
  5. Step 5: Solve for x
    x = 18,303,840,277.44/114,421.60
  6. Step 6: Final answer
    x = 159,968.40

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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.