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Finding the Fourth Proportional to 145,436.96, 200,537.53 and 102,402.70

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Solution

The fourth proportional to 145,436.96, 200,537.53 and 102,402.70 is: 141,199.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,436.96 : 200,537.53 = 102,402.70 : x
  2. Step 2: Convert to fraction form
    145,436.96/200,537.53 = 102,402.70/x
  3. Step 3: Cross multiply
    145,436.96x = 200,537.53 × 102,402.70
  4. Step 4: Simplify right side
    145,436.96x = 20,535,584,523.33
  5. Step 5: Solve for x
    x = 20,535,584,523.33/145,436.96
  6. Step 6: Final answer
    x = 141,199.21

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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.