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Finding the Fourth Proportional to 145,025, 200,135.04 and 84,637.34

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Solution

The fourth proportional to 145,025, 200,135.04 and 84,637.34 is: 116,799.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,025 : 200,135.04 = 84,637.34 : x
  2. Step 2: Convert to fraction form
    145,025/200,135.04 = 84,637.34/x
  3. Step 3: Cross multiply
    145,025x = 200,135.04 × 84,637.34
  4. Step 4: Simplify right side
    145,025x = 16,938,897,426.39
  5. Step 5: Solve for x
    x = 16,938,897,426.39/145,025
  6. Step 6: Final answer
    x = 116,799.84

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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.