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Finding the Fourth Proportional to 214,536.39, 296,114.61 and 146,580.81

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Solution

The fourth proportional to 214,536.39, 296,114.61 and 146,580.81 is: 202,318.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,536.39 : 296,114.61 = 146,580.81 : x
  2. Step 2: Convert to fraction form
    214,536.39/296,114.61 = 146,580.81/x
  3. Step 3: Cross multiply
    214,536.39x = 296,114.61 × 146,580.81
  4. Step 4: Simplify right side
    214,536.39x = 43,404,719,386.63
  5. Step 5: Solve for x
    x = 43,404,719,386.63/214,536.39
  6. Step 6: Final answer
    x = 202,318.68

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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.