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Finding the Fourth Proportional to 357,696, 536,626.92 and 104,966.16

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Solution

The fourth proportional to 357,696, 536,626.92 and 104,966.16 is: 157,473.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,696 : 536,626.92 = 104,966.16 : x
  2. Step 2: Convert to fraction form
    357,696/536,626.92 = 104,966.16/x
  3. Step 3: Cross multiply
    357,696x = 536,626.92 × 104,966.16
  4. Step 4: Simplify right side
    357,696x = 56,327,667,145.03
  5. Step 5: Solve for x
    x = 56,327,667,145.03/357,696
  6. Step 6: Final answer
    x = 157,473.57

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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.