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Finding the Fourth Proportional to 127,016.40, 175,293.12 and 70,446

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Solution

The fourth proportional to 127,016.40, 175,293.12 and 70,446 is: 97,221.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,016.40 : 175,293.12 = 70,446 : x
  2. Step 2: Convert to fraction form
    127,016.40/175,293.12 = 70,446/x
  3. Step 3: Cross multiply
    127,016.40x = 175,293.12 × 70,446
  4. Step 4: Simplify right side
    127,016.40x = 12,348,699,131.52
  5. Step 5: Solve for x
    x = 12,348,699,131.52/127,016.40
  6. Step 6: Final answer
    x = 97,221.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.