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Finding the Fourth Proportional to 177,364.80, 265,701.60 and 107,035.20

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Solution

The fourth proportional to 177,364.80, 265,701.60 and 107,035.20 is: 160,344.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,364.80 : 265,701.60 = 107,035.20 : x
  2. Step 2: Convert to fraction form
    177,364.80/265,701.60 = 107,035.20/x
  3. Step 3: Cross multiply
    177,364.80x = 265,701.60 × 107,035.20
  4. Step 4: Simplify right side
    177,364.80x = 28,439,423,896.32
  5. Step 5: Solve for x
    x = 28,439,423,896.32/177,364.80
  6. Step 6: Final answer
    x = 160,344.24

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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.