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Finding the Fourth Proportional to 147,069.64, 202,966.02 and 83,411.56

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Solution

The fourth proportional to 147,069.64, 202,966.02 and 83,411.56 is: 115,113.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,069.64 : 202,966.02 = 83,411.56 : x
  2. Step 2: Convert to fraction form
    147,069.64/202,966.02 = 83,411.56/x
  3. Step 3: Cross multiply
    147,069.64x = 202,966.02 × 83,411.56
  4. Step 4: Simplify right side
    147,069.64x = 16,929,712,355.19
  5. Step 5: Solve for x
    x = 16,929,712,355.19/147,069.64
  6. Step 6: Final answer
    x = 115,113.58

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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.