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Finding the Fourth Proportional to 118,816.80, 178,225.20 and 35,710.80

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Solution

The fourth proportional to 118,816.80, 178,225.20 and 35,710.80 is: 53,566.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,816.80 : 178,225.20 = 35,710.80 : x
  2. Step 2: Convert to fraction form
    118,816.80/178,225.20 = 35,710.80/x
  3. Step 3: Cross multiply
    118,816.80x = 178,225.20 × 35,710.80
  4. Step 4: Simplify right side
    118,816.80x = 6,364,564,472.16
  5. Step 5: Solve for x
    x = 6,364,564,472.16/118,816.80
  6. Step 6: Final answer
    x = 53,566.20

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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.