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Finding the Fourth Proportional to 351,140, 484,574.16 and 192,164

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Solution

The fourth proportional to 351,140, 484,574.16 and 192,164 is: 265,186.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,140 : 484,574.16 = 192,164 : x
  2. Step 2: Convert to fraction form
    351,140/484,574.16 = 192,164/x
  3. Step 3: Cross multiply
    351,140x = 484,574.16 × 192,164
  4. Step 4: Simplify right side
    351,140x = 93,117,708,882.24
  5. Step 5: Solve for x
    x = 93,117,708,882.24/351,140
  6. Step 6: Final answer
    x = 265,186.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.