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Finding the Fourth Proportional to 106,793.44, 147,409.92 and 74,970.16

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Solution

The fourth proportional to 106,793.44, 147,409.92 and 74,970.16 is: 103,483.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,793.44 : 147,409.92 = 74,970.16 : x
  2. Step 2: Convert to fraction form
    106,793.44/147,409.92 = 74,970.16/x
  3. Step 3: Cross multiply
    106,793.44x = 147,409.92 × 74,970.16
  4. Step 4: Simplify right side
    106,793.44x = 11,051,345,287.99
  5. Step 5: Solve for x
    x = 11,051,345,287.99/106,793.44
  6. Step 6: Final answer
    x = 103,483.37

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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.