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Finding the Fourth Proportional to 102,209.64, 153,315.12 and 35,649.51

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Solution

The fourth proportional to 102,209.64, 153,315.12 and 35,649.51 is: 53,474.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,209.64 : 153,315.12 = 35,649.51 : x
  2. Step 2: Convert to fraction form
    102,209.64/153,315.12 = 35,649.51/x
  3. Step 3: Cross multiply
    102,209.64x = 153,315.12 × 35,649.51
  4. Step 4: Simplify right side
    102,209.64x = 5,465,608,903.59
  5. Step 5: Solve for x
    x = 5,465,608,903.59/102,209.64
  6. Step 6: Final answer
    x = 53,474.50

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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.