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Finding the Fourth Proportional to 102,104.96, 153,232.32 and 67,032.32

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Solution

The fourth proportional to 102,104.96, 153,232.32 and 67,032.32 is: 100,597.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,104.96 : 153,232.32 = 67,032.32 : x
  2. Step 2: Convert to fraction form
    102,104.96/153,232.32 = 67,032.32/x
  3. Step 3: Cross multiply
    102,104.96x = 153,232.32 × 67,032.32
  4. Step 4: Simplify right side
    102,104.96x = 10,271,517,908.58
  5. Step 5: Solve for x
    x = 10,271,517,908.58/102,104.96
  6. Step 6: Final answer
    x = 100,597.64

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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.