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Finding the Fourth Proportional to 174,592.50, 240,929.88 and 102,002.12

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Solution

The fourth proportional to 174,592.50, 240,929.88 and 102,002.12 is: 140,758.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,592.50 : 240,929.88 = 102,002.12 : x
  2. Step 2: Convert to fraction form
    174,592.50/240,929.88 = 102,002.12/x
  3. Step 3: Cross multiply
    174,592.50x = 240,929.88 × 102,002.12
  4. Step 4: Simplify right side
    174,592.50x = 24,575,357,847.68
  5. Step 5: Solve for x
    x = 24,575,357,847.68/174,592.50
  6. Step 6: Final answer
    x = 140,758.39

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1.5x scale

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.