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Finding the Fourth Proportional to 101,829.80, 152,744.56 and 57,436.40

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Solution

The fourth proportional to 101,829.80, 152,744.56 and 57,436.40 is: 86,154.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,829.80 : 152,744.56 = 57,436.40 : x
  2. Step 2: Convert to fraction form
    101,829.80/152,744.56 = 57,436.40/x
  3. Step 3: Cross multiply
    101,829.80x = 152,744.56 × 57,436.40
  4. Step 4: Simplify right side
    101,829.80x = 8,773,097,645.98
  5. Step 5: Solve for x
    x = 8,773,097,645.98/101,829.80
  6. Step 6: Final answer
    x = 86,154.52

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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.