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Finding the Fourth Proportional to 212,312.34, 317,976.33 and 127,888.07

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Solution

The fourth proportional to 212,312.34, 317,976.33 and 127,888.07 is: 191,535.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,312.34 : 317,976.33 = 127,888.07 : x
  2. Step 2: Convert to fraction form
    212,312.34/317,976.33 = 127,888.07/x
  3. Step 3: Cross multiply
    212,312.34x = 317,976.33 × 127,888.07
  4. Step 4: Simplify right side
    212,312.34x = 40,665,378,039.08
  5. Step 5: Solve for x
    x = 40,665,378,039.08/212,312.34
  6. Step 6: Final answer
    x = 191,535.63

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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.