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Finding the Fourth Proportional to 213,909.32, 295,225.74 and 123,247.91

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Solution

The fourth proportional to 213,909.32, 295,225.74 and 123,247.91 is: 170,099.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,909.32 : 295,225.74 = 123,247.91 : x
  2. Step 2: Convert to fraction form
    213,909.32/295,225.74 = 123,247.91/x
  3. Step 3: Cross multiply
    213,909.32x = 295,225.74 × 123,247.91
  4. Step 4: Simplify right side
    213,909.32x = 36,385,953,957.07
  5. Step 5: Solve for x
    x = 36,385,953,957.07/213,909.32
  6. Step 6: Final answer
    x = 170,099.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.