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Finding the Fourth Proportional to 174,609, 240,949.08 and 102,972.60

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Solution

The fourth proportional to 174,609, 240,949.08 and 102,972.60 is: 142,095.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,609 : 240,949.08 = 102,972.60 : x
  2. Step 2: Convert to fraction form
    174,609/240,949.08 = 102,972.60/x
  3. Step 3: Cross multiply
    174,609x = 240,949.08 × 102,972.60
  4. Step 4: Simplify right side
    174,609x = 24,811,153,235.21
  5. Step 5: Solve for x
    x = 24,811,153,235.21/174,609
  6. Step 6: Final answer
    x = 142,095.50

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1.5x scale

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.