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Finding the Fourth Proportional to 129,288.34, 178,416.84 and 72,698.50

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Solution

The fourth proportional to 129,288.34, 178,416.84 and 72,698.50 is: 100,323.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,288.34 : 178,416.84 = 72,698.50 : x
  2. Step 2: Convert to fraction form
    129,288.34/178,416.84 = 72,698.50/x
  3. Step 3: Cross multiply
    129,288.34x = 178,416.84 × 72,698.50
  4. Step 4: Simplify right side
    129,288.34x = 12,970,636,642.74
  5. Step 5: Solve for x
    x = 12,970,636,642.74/129,288.34
  6. Step 6: Final answer
    x = 100,323.33

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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.