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Finding the Fourth Proportional to 259,614, 358,267.32 and 140,382

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Solution

The fourth proportional to 259,614, 358,267.32 and 140,382 is: 193,727.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,614 : 358,267.32 = 140,382 : x
  2. Step 2: Convert to fraction form
    259,614/358,267.32 = 140,382/x
  3. Step 3: Cross multiply
    259,614x = 358,267.32 × 140,382
  4. Step 4: Simplify right side
    259,614x = 50,294,282,916.24
  5. Step 5: Solve for x
    x = 50,294,282,916.24/259,614
  6. Step 6: Final answer
    x = 193,727.16

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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.