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Finding the Fourth Proportional to 127,023, 190,542.48 and 42,776.28

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Solution

The fourth proportional to 127,023, 190,542.48 and 42,776.28 is: 64,167.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,023 : 190,542.48 = 42,776.28 : x
  2. Step 2: Convert to fraction form
    127,023/190,542.48 = 42,776.28/x
  3. Step 3: Cross multiply
    127,023x = 190,542.48 × 42,776.28
  4. Step 4: Simplify right side
    127,023x = 8,150,698,476.37
  5. Step 5: Solve for x
    x = 8,150,698,476.37/127,023
  6. Step 6: Final answer
    x = 64,167.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.