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Finding the Fourth Proportional to 177,411.80, 266,117.70 and 114,426.20

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Solution

The fourth proportional to 177,411.80, 266,117.70 and 114,426.20 is: 171,639.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,411.80 : 266,117.70 = 114,426.20 : x
  2. Step 2: Convert to fraction form
    177,411.80/266,117.70 = 114,426.20/x
  3. Step 3: Cross multiply
    177,411.80x = 266,117.70 × 114,426.20
  4. Step 4: Simplify right side
    177,411.80x = 30,450,837,163.74
  5. Step 5: Solve for x
    x = 30,450,837,163.74/177,411.80
  6. Step 6: Final answer
    x = 171,639.30

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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.