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Finding the Fourth Proportional to 212,370, 293,077.50 and 121,743.14

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Solution

The fourth proportional to 212,370, 293,077.50 and 121,743.14 is: 168,009.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,370 : 293,077.50 = 121,743.14 : x
  2. Step 2: Convert to fraction form
    212,370/293,077.50 = 121,743.14/x
  3. Step 3: Cross multiply
    212,370x = 293,077.50 × 121,743.14
  4. Step 4: Simplify right side
    212,370x = 35,680,175,113.35
  5. Step 5: Solve for x
    x = 35,680,175,113.35/212,370
  6. Step 6: Final answer
    x = 168,009.49

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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.