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Finding the Fourth Proportional to 137,210.70, 205,945.65 and 84,722.70

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Solution

The fourth proportional to 137,210.70, 205,945.65 and 84,722.70 is: 127,164.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,210.70 : 205,945.65 = 84,722.70 : x
  2. Step 2: Convert to fraction form
    137,210.70/205,945.65 = 84,722.70/x
  3. Step 3: Cross multiply
    137,210.70x = 205,945.65 × 84,722.70
  4. Step 4: Simplify right side
    137,210.70x = 17,448,271,521.26
  5. Step 5: Solve for x
    x = 17,448,271,521.26/137,210.70
  6. Step 6: Final answer
    x = 127,164.07

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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.