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Finding the Fourth Proportional to 118,015.79, 177,056.53 and 51,461.78

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Solution

The fourth proportional to 118,015.79, 177,056.53 and 51,461.78 is: 77,206.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,015.79 : 177,056.53 = 51,461.78 : x
  2. Step 2: Convert to fraction form
    118,015.79/177,056.53 = 51,461.78/x
  3. Step 3: Cross multiply
    118,015.79x = 177,056.53 × 51,461.78
  4. Step 4: Simplify right side
    118,015.79x = 9,111,643,180.49
  5. Step 5: Solve for x
    x = 9,111,643,180.49/118,015.79
  6. Step 6: Final answer
    x = 77,206.99

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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.