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Finding the Fourth Proportional to 355,106.64, 532,725.24 and 105,760.08

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Solution

The fourth proportional to 355,106.64, 532,725.24 and 105,760.08 is: 158,659.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,106.64 : 532,725.24 = 105,760.08 : x
  2. Step 2: Convert to fraction form
    355,106.64/532,725.24 = 105,760.08/x
  3. Step 3: Cross multiply
    355,106.64x = 532,725.24 × 105,760.08
  4. Step 4: Simplify right side
    355,106.64x = 56,341,064,000.42
  5. Step 5: Solve for x
    x = 56,341,064,000.42/355,106.64
  6. Step 6: Final answer
    x = 158,659.56

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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.