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Finding the Fourth Proportional to 127,231.80, 190,847.70 and 38,547.60

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Solution

The fourth proportional to 127,231.80, 190,847.70 and 38,547.60 is: 57,821.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,231.80 : 190,847.70 = 38,547.60 : x
  2. Step 2: Convert to fraction form
    127,231.80/190,847.70 = 38,547.60/x
  3. Step 3: Cross multiply
    127,231.80x = 190,847.70 × 38,547.60
  4. Step 4: Simplify right side
    127,231.80x = 7,356,720,800.52
  5. Step 5: Solve for x
    x = 7,356,720,800.52/127,231.80
  6. Step 6: Final answer
    x = 57,821.40

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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.