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Finding the Fourth Proportional to 145,164.41, 200,326.89 and 81,503.57

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Solution

The fourth proportional to 145,164.41, 200,326.89 and 81,503.57 is: 112,474.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,164.41 : 200,326.89 = 81,503.57 : x
  2. Step 2: Convert to fraction form
    145,164.41/200,326.89 = 81,503.57/x
  3. Step 3: Cross multiply
    145,164.41x = 200,326.89 × 81,503.57
  4. Step 4: Simplify right side
    145,164.41x = 16,327,357,159.78
  5. Step 5: Solve for x
    x = 16,327,357,159.78/145,164.41
  6. Step 6: Final answer
    x = 112,474.93

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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.