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Finding the Fourth Proportional to 111,323.94, 153,650.22 and 102,357.24

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Solution

The fourth proportional to 111,323.94, 153,650.22 and 102,357.24 is: 141,274.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,323.94 : 153,650.22 = 102,357.24 : x
  2. Step 2: Convert to fraction form
    111,323.94/153,650.22 = 102,357.24/x
  3. Step 3: Cross multiply
    111,323.94x = 153,650.22 × 102,357.24
  4. Step 4: Simplify right side
    111,323.94x = 15,727,212,444.59
  5. Step 5: Solve for x
    x = 15,727,212,444.59/111,323.94
  6. Step 6: Final answer
    x = 141,274.31

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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.