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Finding the Fourth Proportional to 129,176.64, 178,261.92 and 72,587.52

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Solution

The fourth proportional to 129,176.64, 178,261.92 and 72,587.52 is: 100,169.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,176.64 : 178,261.92 = 72,587.52 : x
  2. Step 2: Convert to fraction form
    129,176.64/178,261.92 = 72,587.52/x
  3. Step 3: Cross multiply
    129,176.64x = 178,261.92 × 72,587.52
  4. Step 4: Simplify right side
    129,176.64x = 12,939,590,683.24
  5. Step 5: Solve for x
    x = 12,939,590,683.24/129,176.64
  6. Step 6: Final answer
    x = 100,169.74

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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.