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Finding the Fourth Proportional to 177,314.48, 265,741.92 and 72,011.12

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Solution

The fourth proportional to 177,314.48, 265,741.92 and 72,011.12 is: 107,923.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,314.48 : 265,741.92 = 72,011.12 : x
  2. Step 2: Convert to fraction form
    177,314.48/265,741.92 = 72,011.12/x
  3. Step 3: Cross multiply
    177,314.48x = 265,741.92 × 72,011.12
  4. Step 4: Simplify right side
    177,314.48x = 19,136,373,290.15
  5. Step 5: Solve for x
    x = 19,136,373,290.15/177,314.48
  6. Step 6: Final answer
    x = 107,923.35

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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.