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Finding the Fourth Proportional to 127,210.80, 175,606.20 and 82,513.20

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Solution

The fourth proportional to 127,210.80, 175,606.20 and 82,513.20 is: 113,904.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,210.80 : 175,606.20 = 82,513.20 : x
  2. Step 2: Convert to fraction form
    127,210.80/175,606.20 = 82,513.20/x
  3. Step 3: Cross multiply
    127,210.80x = 175,606.20 × 82,513.20
  4. Step 4: Simplify right side
    127,210.80x = 14,489,829,501.84
  5. Step 5: Solve for x
    x = 14,489,829,501.84/127,210.80
  6. Step 6: Final answer
    x = 113,904.08

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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.