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Finding the Fourth Proportional to 357,980.96, 536,971.25 and 105,263.55

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Solution

The fourth proportional to 357,980.96, 536,971.25 and 105,263.55 is: 157,895.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,980.96 : 536,971.25 = 105,263.55 : x
  2. Step 2: Convert to fraction form
    357,980.96/536,971.25 = 105,263.55/x
  3. Step 3: Cross multiply
    357,980.96x = 536,971.25 × 105,263.55
  4. Step 4: Simplify right side
    357,980.96x = 56,523,500,022.94
  5. Step 5: Solve for x
    x = 56,523,500,022.94/357,980.96
  6. Step 6: Final answer
    x = 157,895.27

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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.