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Finding the Fourth Proportional to 171,785.34, 257,702.58 and 53,468.64

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Solution

The fourth proportional to 171,785.34, 257,702.58 and 53,468.64 is: 80,210.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,785.34 : 257,702.58 = 53,468.64 : x
  2. Step 2: Convert to fraction form
    171,785.34/257,702.58 = 53,468.64/x
  3. Step 3: Cross multiply
    171,785.34x = 257,702.58 × 53,468.64
  4. Step 4: Simplify right side
    171,785.34x = 13,779,006,477.09
  5. Step 5: Solve for x
    x = 13,779,006,477.09/171,785.34
  6. Step 6: Final answer
    x = 80,210.61

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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.