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Finding the Fourth Proportional to 329,140.16, 454,210.79 and 178,237.16

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Solution

The fourth proportional to 329,140.16, 454,210.79 and 178,237.16 is: 245,965.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,140.16 : 454,210.79 = 178,237.16 : x
  2. Step 2: Convert to fraction form
    329,140.16/454,210.79 = 178,237.16/x
  3. Step 3: Cross multiply
    329,140.16x = 454,210.79 × 178,237.16
  4. Step 4: Simplify right side
    329,140.16x = 80,957,238,088.72
  5. Step 5: Solve for x
    x = 80,957,238,088.72/329,140.16
  6. Step 6: Final answer
    x = 245,965.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.