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Finding the Fourth Proportional to 178,216.94, 245,939.36 and 106,613.82

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Solution

The fourth proportional to 178,216.94, 245,939.36 and 106,613.82 is: 147,127.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,216.94 : 245,939.36 = 106,613.82 : x
  2. Step 2: Convert to fraction form
    178,216.94/245,939.36 = 106,613.82/x
  3. Step 3: Cross multiply
    178,216.94x = 245,939.36 × 106,613.82
  4. Step 4: Simplify right side
    178,216.94x = 26,220,534,124.89
  5. Step 5: Solve for x
    x = 26,220,534,124.89/178,216.94
  6. Step 6: Final answer
    x = 147,127.06

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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.