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Finding the Fourth Proportional to 127,911.80, 191,954.10 and 83,430.20

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Solution

The fourth proportional to 127,911.80, 191,954.10 and 83,430.20 is: 125,201.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,911.80 : 191,954.10 = 83,430.20 : x
  2. Step 2: Convert to fraction form
    127,911.80/191,954.10 = 83,430.20/x
  3. Step 3: Cross multiply
    127,911.80x = 191,954.10 × 83,430.20
  4. Step 4: Simplify right side
    127,911.80x = 16,014,768,953.82
  5. Step 5: Solve for x
    x = 16,014,768,953.82/127,911.80
  6. Step 6: Final answer
    x = 125,201.65

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1.5x scale

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.