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Finding the Fourth Proportional to 147,009.45, 202,935.14 and 99,327.40

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Solution

The fourth proportional to 147,009.45, 202,935.14 and 99,327.40 is: 137,113.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,009.45 : 202,935.14 = 99,327.40 : x
  2. Step 2: Convert to fraction form
    147,009.45/202,935.14 = 99,327.40/x
  3. Step 3: Cross multiply
    147,009.45x = 202,935.14 × 99,327.40
  4. Step 4: Simplify right side
    147,009.45x = 20,157,019,824.84
  5. Step 5: Solve for x
    x = 20,157,019,824.84/147,009.45
  6. Step 6: Final answer
    x = 137,113.77

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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.