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Finding the Fourth Proportional to 170,164, 255,362.88 and 59,356

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Solution

The fourth proportional to 170,164, 255,362.88 and 59,356 is: 89,074.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,164 : 255,362.88 = 59,356 : x
  2. Step 2: Convert to fraction form
    170,164/255,362.88 = 59,356/x
  3. Step 3: Cross multiply
    170,164x = 255,362.88 × 59,356
  4. Step 4: Simplify right side
    170,164x = 15,157,319,105.28
  5. Step 5: Solve for x
    x = 15,157,319,105.28/170,164
  6. Step 6: Final answer
    x = 89,074.77

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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.