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Finding the Fourth Proportional to 147,023.84, 202,897.44 and 83,364.32

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Solution

The fourth proportional to 147,023.84, 202,897.44 and 83,364.32 is: 115,045.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,023.84 : 202,897.44 = 83,364.32 : x
  2. Step 2: Convert to fraction form
    147,023.84/202,897.44 = 83,364.32/x
  3. Step 3: Cross multiply
    147,023.84x = 202,897.44 × 83,364.32
  4. Step 4: Simplify right side
    147,023.84x = 16,914,407,115.34
  5. Step 5: Solve for x
    x = 16,914,407,115.34/147,023.84
  6. Step 6: Final answer
    x = 115,045.34

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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.