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Finding the Fourth Proportional to 102,124.80, 152,884.80 and 75,945.60

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Solution

The fourth proportional to 102,124.80, 152,884.80 and 75,945.60 is: 113,693.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,124.80 : 152,884.80 = 75,945.60 : x
  2. Step 2: Convert to fraction form
    102,124.80/152,884.80 = 75,945.60/x
  3. Step 3: Cross multiply
    102,124.80x = 152,884.80 × 75,945.60
  4. Step 4: Simplify right side
    102,124.80x = 11,610,927,866.88
  5. Step 5: Solve for x
    x = 11,610,927,866.88/102,124.80
  6. Step 6: Final answer
    x = 113,693.52

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1.5x scale

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.