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Finding the Fourth Proportional to 170,792.64, 256,192 and 52,465

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Solution

The fourth proportional to 170,792.64, 256,192 and 52,465 is: 78,698.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,792.64 : 256,192 = 52,465 : x
  2. Step 2: Convert to fraction form
    170,792.64/256,192 = 52,465/x
  3. Step 3: Cross multiply
    170,792.64x = 256,192 × 52,465
  4. Step 4: Simplify right side
    170,792.64x = 13,441,113,280
  5. Step 5: Solve for x
    x = 13,441,113,280/170,792.64
  6. Step 6: Final answer
    x = 78,698.43

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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.