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Finding the Fourth Proportional to 214,836.80, 296,202.28 and 153,656.68

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Solution

The fourth proportional to 214,836.80, 296,202.28 and 153,656.68 is: 211,851.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,836.80 : 296,202.28 = 153,656.68 : x
  2. Step 2: Convert to fraction form
    214,836.80/296,202.28 = 153,656.68/x
  3. Step 3: Cross multiply
    214,836.80x = 296,202.28 × 153,656.68
  4. Step 4: Simplify right side
    214,836.80x = 45,513,458,953.23
  5. Step 5: Solve for x
    x = 45,513,458,953.23/214,836.80
  6. Step 6: Final answer
    x = 211,851.32

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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.