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Finding the Fourth Proportional to 127,458.30, 191,187.45 and 106,722.30

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Solution

The fourth proportional to 127,458.30, 191,187.45 and 106,722.30 is: 160,083.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,458.30 : 191,187.45 = 106,722.30 : x
  2. Step 2: Convert to fraction form
    127,458.30/191,187.45 = 106,722.30/x
  3. Step 3: Cross multiply
    127,458.30x = 191,187.45 × 106,722.30
  4. Step 4: Simplify right side
    127,458.30x = 20,403,964,395.14
  5. Step 5: Solve for x
    x = 20,403,964,395.14/127,458.30
  6. Step 6: Final answer
    x = 160,083.45

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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.