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Finding the Fourth Proportional to 178,200.54, 265,962.39 and 154,078.38

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Solution

The fourth proportional to 178,200.54, 265,962.39 and 154,078.38 is: 229,960.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,200.54 : 265,962.39 = 154,078.38 : x
  2. Step 2: Convert to fraction form
    178,200.54/265,962.39 = 154,078.38/x
  3. Step 3: Cross multiply
    178,200.54x = 265,962.39 × 154,078.38
  4. Step 4: Simplify right side
    178,200.54x = 40,979,054,192.13
  5. Step 5: Solve for x
    x = 40,979,054,192.13/178,200.54
  6. Step 6: Final answer
    x = 229,960.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.