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Finding the Fourth Proportional to 177,417.76, 266,048.88 and 66,532

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Solution

The fourth proportional to 177,417.76, 266,048.88 and 66,532 is: 99,768.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,417.76 : 266,048.88 = 66,532 : x
  2. Step 2: Convert to fraction form
    177,417.76/266,048.88 = 66,532/x
  3. Step 3: Cross multiply
    177,417.76x = 266,048.88 × 66,532
  4. Step 4: Simplify right side
    177,417.76x = 17,700,764,084.16
  5. Step 5: Solve for x
    x = 17,700,764,084.16/177,417.76
  6. Step 6: Final answer
    x = 99,768.84

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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.