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Finding the Fourth Proportional to 206,752.32, 310,176 and 59,008.32

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Solution

The fourth proportional to 206,752.32, 310,176 and 59,008.32 is: 88,526.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,752.32 : 310,176 = 59,008.32 : x
  2. Step 2: Convert to fraction form
    206,752.32/310,176 = 59,008.32/x
  3. Step 3: Cross multiply
    206,752.32x = 310,176 × 59,008.32
  4. Step 4: Simplify right side
    206,752.32x = 18,302,964,664.32
  5. Step 5: Solve for x
    x = 18,302,964,664.32/206,752.32
  6. Step 6: Final answer
    x = 88,526.04

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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.