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Finding the Fourth Proportional to 147,352.84, 203,419.62 and 102,065.32

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Solution

The fourth proportional to 147,352.84, 203,419.62 and 102,065.32 is: 140,900.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,352.84 : 203,419.62 = 102,065.32 : x
  2. Step 2: Convert to fraction form
    147,352.84/203,419.62 = 102,065.32/x
  3. Step 3: Cross multiply
    147,352.84x = 203,419.62 × 102,065.32
  4. Step 4: Simplify right side
    147,352.84x = 20,762,088,609.58
  5. Step 5: Solve for x
    x = 20,762,088,609.58/147,352.84
  6. Step 6: Final answer
    x = 140,900.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.