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Finding the Fourth Proportional to 174,430.60, 261,645.90 and 127,774.60

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Solution

The fourth proportional to 174,430.60, 261,645.90 and 127,774.60 is: 191,661.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,430.60 : 261,645.90 = 127,774.60 : x
  2. Step 2: Convert to fraction form
    174,430.60/261,645.90 = 127,774.60/x
  3. Step 3: Cross multiply
    174,430.60x = 261,645.90 × 127,774.60
  4. Step 4: Simplify right side
    174,430.60x = 33,431,700,214.14
  5. Step 5: Solve for x
    x = 33,431,700,214.14/174,430.60
  6. Step 6: Final answer
    x = 191,661.90

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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.