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Finding the Fourth Proportional to 177,508.40, 265,986.12 and 111,706.16

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Solution

The fourth proportional to 177,508.40, 265,986.12 and 111,706.16 is: 167,385.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,508.40 : 265,986.12 = 111,706.16 : x
  2. Step 2: Convert to fraction form
    177,508.40/265,986.12 = 111,706.16/x
  3. Step 3: Cross multiply
    177,508.40x = 265,986.12 × 111,706.16
  4. Step 4: Simplify right side
    177,508.40x = 29,712,288,078.50
  5. Step 5: Solve for x
    x = 29,712,288,078.50/177,508.40
  6. Step 6: Final answer
    x = 167,385.25

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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.