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Finding the Fourth Proportional to 110,755, 152,788.68 and 72,497.68

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Solution

The fourth proportional to 110,755, 152,788.68 and 72,497.68 is: 100,011.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,755 : 152,788.68 = 72,497.68 : x
  2. Step 2: Convert to fraction form
    110,755/152,788.68 = 72,497.68/x
  3. Step 3: Cross multiply
    110,755x = 152,788.68 × 72,497.68
  4. Step 4: Simplify right side
    110,755x = 11,076,824,830.26
  5. Step 5: Solve for x
    x = 11,076,824,830.26/110,755
  6. Step 6: Final answer
    x = 100,011.96

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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.