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Finding the Fourth Proportional to 171,104.64, 256,657.08 and 46,445.64

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Solution

The fourth proportional to 171,104.64, 256,657.08 and 46,445.64 is: 69,668.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,104.64 : 256,657.08 = 46,445.64 : x
  2. Step 2: Convert to fraction form
    171,104.64/256,657.08 = 46,445.64/x
  3. Step 3: Cross multiply
    171,104.64x = 256,657.08 × 46,445.64
  4. Step 4: Simplify right side
    171,104.64x = 11,920,602,341.13
  5. Step 5: Solve for x
    x = 11,920,602,341.13/171,104.64
  6. Step 6: Final answer
    x = 69,668.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.