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Finding the Fourth Proportional to 214,567.22, 296,072.53 and 128,506.05

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Solution

The fourth proportional to 214,567.22, 296,072.53 and 128,506.05 is: 177,320.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,567.22 : 296,072.53 = 128,506.05 : x
  2. Step 2: Convert to fraction form
    214,567.22/296,072.53 = 128,506.05/x
  3. Step 3: Cross multiply
    214,567.22x = 296,072.53 × 128,506.05
  4. Step 4: Simplify right side
    214,567.22x = 38,047,111,022.54
  5. Step 5: Solve for x
    x = 38,047,111,022.54/214,567.22
  6. Step 6: Final answer
    x = 177,320.24

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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.