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Finding the Fourth Proportional to 129,005.42, 178,027.35 and 72,416.90

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Solution

The fourth proportional to 129,005.42, 178,027.35 and 72,416.90 is: 99,935.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,005.42 : 178,027.35 = 72,416.90 : x
  2. Step 2: Convert to fraction form
    129,005.42/178,027.35 = 72,416.90/x
  3. Step 3: Cross multiply
    129,005.42x = 178,027.35 × 72,416.90
  4. Step 4: Simplify right side
    129,005.42x = 12,892,188,802.22
  5. Step 5: Solve for x
    x = 12,892,188,802.22/129,005.42
  6. Step 6: Final answer
    x = 99,935.25

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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.