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Finding the Fourth Proportional to 171,056.61, 256,585.05 and 46,397.61

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Solution

The fourth proportional to 171,056.61, 256,585.05 and 46,397.61 is: 69,596.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,056.61 : 256,585.05 = 46,397.61 : x
  2. Step 2: Convert to fraction form
    171,056.61/256,585.05 = 46,397.61/x
  3. Step 3: Cross multiply
    171,056.61x = 256,585.05 × 46,397.61
  4. Step 4: Simplify right side
    171,056.61x = 11,904,933,081.73
  5. Step 5: Solve for x
    x = 11,904,933,081.73/171,056.61
  6. Step 6: Final answer
    x = 69,596.45

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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.