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Finding the Fourth Proportional to 277,898.68, 416,804.46 and 88,334.20

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Solution

The fourth proportional to 277,898.68, 416,804.46 and 88,334.20 is: 132,487.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,898.68 : 416,804.46 = 88,334.20 : x
  2. Step 2: Convert to fraction form
    277,898.68/416,804.46 = 88,334.20/x
  3. Step 3: Cross multiply
    277,898.68x = 416,804.46 × 88,334.20
  4. Step 4: Simplify right side
    277,898.68x = 36,818,088,530.53
  5. Step 5: Solve for x
    x = 36,818,088,530.53/277,898.68
  6. Step 6: Final answer
    x = 132,487.45

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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.