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Finding the Fourth Proportional to 118,285.88, 177,454.32 and 34,045.46

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Solution

The fourth proportional to 118,285.88, 177,454.32 and 34,045.46 is: 51,075.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,285.88 : 177,454.32 = 34,045.46 : x
  2. Step 2: Convert to fraction form
    118,285.88/177,454.32 = 34,045.46/x
  3. Step 3: Cross multiply
    118,285.88x = 177,454.32 × 34,045.46
  4. Step 4: Simplify right side
    118,285.88x = 6,041,513,953.39
  5. Step 5: Solve for x
    x = 6,041,513,953.39/118,285.88
  6. Step 6: Final answer
    x = 51,075.53

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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.