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Finding the Fourth Proportional to 145,152.41, 200,310.57 and 81,490.66

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Solution

The fourth proportional to 145,152.41, 200,310.57 and 81,490.66 is: 112,457.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,152.41 : 200,310.57 = 81,490.66 : x
  2. Step 2: Convert to fraction form
    145,152.41/200,310.57 = 81,490.66/x
  3. Step 3: Cross multiply
    145,152.41x = 200,310.57 × 81,490.66
  4. Step 4: Simplify right side
    145,152.41x = 16,323,440,053.50
  5. Step 5: Solve for x
    x = 16,323,440,053.50/145,152.41
  6. Step 6: Final answer
    x = 112,457.25

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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.