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Finding the Fourth Proportional to 259,513, 358,128.42 and 140,281

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Solution

The fourth proportional to 259,513, 358,128.42 and 140,281 is: 193,588.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,513 : 358,128.42 = 140,281 : x
  2. Step 2: Convert to fraction form
    259,513/358,128.42 = 140,281/x
  3. Step 3: Cross multiply
    259,513x = 358,128.42 × 140,281
  4. Step 4: Simplify right side
    259,513x = 50,238,612,886.02
  5. Step 5: Solve for x
    x = 50,238,612,886.02/259,513
  6. Step 6: Final answer
    x = 193,588.04

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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.