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Finding the Fourth Proportional to 129,385.64, 178,509.48 and 105,471.20

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Solution

The fourth proportional to 129,385.64, 178,509.48 and 105,471.20 is: 145,515.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,385.64 : 178,509.48 = 105,471.20 : x
  2. Step 2: Convert to fraction form
    129,385.64/178,509.48 = 105,471.20/x
  3. Step 3: Cross multiply
    129,385.64x = 178,509.48 × 105,471.20
  4. Step 4: Simplify right side
    129,385.64x = 18,827,609,066.98
  5. Step 5: Solve for x
    x = 18,827,609,066.98/129,385.64
  6. Step 6: Final answer
    x = 145,515.45

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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.