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Finding the Fourth Proportional to 210,007.92, 314,661.20 and 147,566.64

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Solution

The fourth proportional to 210,007.92, 314,661.20 and 147,566.64 is: 221,103.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,007.92 : 314,661.20 = 147,566.64 : x
  2. Step 2: Convert to fraction form
    210,007.92/314,661.20 = 147,566.64/x
  3. Step 3: Cross multiply
    210,007.92x = 314,661.20 × 147,566.64
  4. Step 4: Simplify right side
    210,007.92x = 46,433,496,022.37
  5. Step 5: Solve for x
    x = 46,433,496,022.37/210,007.92
  6. Step 6: Final answer
    x = 221,103.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.