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Finding the Fourth Proportional to 213,532.94, 294,720.50 and 177,688.01

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Solution

The fourth proportional to 213,532.94, 294,720.50 and 177,688.01 is: 245,246.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,532.94 : 294,720.50 = 177,688.01 : x
  2. Step 2: Convert to fraction form
    213,532.94/294,720.50 = 177,688.01/x
  3. Step 3: Cross multiply
    213,532.94x = 294,720.50 × 177,688.01
  4. Step 4: Simplify right side
    213,532.94x = 52,368,298,121.82
  5. Step 5: Solve for x
    x = 52,368,298,121.82/213,532.94
  6. Step 6: Final answer
    x = 245,246.94

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1.5x scale

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.