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Finding the Fourth Proportional to 177,584.60, 266,085.30 and 147,841.40

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Solution

The fourth proportional to 177,584.60, 266,085.30 and 147,841.40 is: 221,519.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,584.60 : 266,085.30 = 147,841.40 : x
  2. Step 2: Convert to fraction form
    177,584.60/266,085.30 = 147,841.40/x
  3. Step 3: Cross multiply
    177,584.60x = 266,085.30 × 147,841.40
  4. Step 4: Simplify right side
    177,584.60x = 39,338,423,271.42
  5. Step 5: Solve for x
    x = 39,338,423,271.42/177,584.60
  6. Step 6: Final answer
    x = 221,519.34

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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.