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Finding the Fourth Proportional to 147,054.40, 202,928.16 and 83,387.20

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Solution

The fourth proportional to 147,054.40, 202,928.16 and 83,387.20 is: 115,070.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,054.40 : 202,928.16 = 83,387.20 : x
  2. Step 2: Convert to fraction form
    147,054.40/202,928.16 = 83,387.20/x
  3. Step 3: Cross multiply
    147,054.40x = 202,928.16 × 83,387.20
  4. Step 4: Simplify right side
    147,054.40x = 16,921,611,063.55
  5. Step 5: Solve for x
    x = 16,921,611,063.55/147,054.40
  6. Step 6: Final answer
    x = 115,070.42

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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.