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Finding the Fourth Proportional to 174,668, 241,030.50 and 103,031.60

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Solution

The fourth proportional to 174,668, 241,030.50 and 103,031.60 is: 142,176.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,668 : 241,030.50 = 103,031.60 : x
  2. Step 2: Convert to fraction form
    174,668/241,030.50 = 103,031.60/x
  3. Step 3: Cross multiply
    174,668x = 241,030.50 × 103,031.60
  4. Step 4: Simplify right side
    174,668x = 24,833,758,063.80
  5. Step 5: Solve for x
    x = 24,833,758,063.80/174,668
  6. Step 6: Final answer
    x = 142,176.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.