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Finding the Fourth Proportional to 127,266.30, 190,899.45 and 106,530.30

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Solution

The fourth proportional to 127,266.30, 190,899.45 and 106,530.30 is: 159,795.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,266.30 : 190,899.45 = 106,530.30 : x
  2. Step 2: Convert to fraction form
    127,266.30/190,899.45 = 106,530.30/x
  3. Step 3: Cross multiply
    127,266.30x = 190,899.45 × 106,530.30
  4. Step 4: Simplify right side
    127,266.30x = 20,336,575,678.34
  5. Step 5: Solve for x
    x = 20,336,575,678.34/127,266.30
  6. Step 6: Final answer
    x = 159,795.45

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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.