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Finding the Fourth Proportional to 134,109.58, 201,202.02 and 39,342

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Solution

The fourth proportional to 134,109.58, 201,202.02 and 39,342 is: 59,024.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,109.58 : 201,202.02 = 39,342 : x
  2. Step 2: Convert to fraction form
    134,109.58/201,202.02 = 39,342/x
  3. Step 3: Cross multiply
    134,109.58x = 201,202.02 × 39,342
  4. Step 4: Simplify right side
    134,109.58x = 7,915,689,870.84
  5. Step 5: Solve for x
    x = 7,915,689,870.84/134,109.58
  6. Step 6: Final answer
    x = 59,024.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.