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Finding the Fourth Proportional to 213,034.32, 293,918.64 and 141,428.16

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Solution

The fourth proportional to 213,034.32, 293,918.64 and 141,428.16 is: 195,125.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,034.32 : 293,918.64 = 141,428.16 : x
  2. Step 2: Convert to fraction form
    213,034.32/293,918.64 = 141,428.16/x
  3. Step 3: Cross multiply
    213,034.32x = 293,918.64 × 141,428.16
  4. Step 4: Simplify right side
    213,034.32x = 41,568,372,444.90
  5. Step 5: Solve for x
    x = 41,568,372,444.90/213,034.32
  6. Step 6: Final answer
    x = 195,125.24

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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.