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Finding the Fourth Proportional to 116,412.80, 174,619.20 and 103,971.20

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Solution

The fourth proportional to 116,412.80, 174,619.20 and 103,971.20 is: 155,956.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,412.80 : 174,619.20 = 103,971.20 : x
  2. Step 2: Convert to fraction form
    116,412.80/174,619.20 = 103,971.20/x
  3. Step 3: Cross multiply
    116,412.80x = 174,619.20 × 103,971.20
  4. Step 4: Simplify right side
    116,412.80x = 18,155,367,767.04
  5. Step 5: Solve for x
    x = 18,155,367,767.04/116,412.80
  6. Step 6: Final answer
    x = 155,956.80

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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.