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Finding the Fourth Proportional to 109,967.50, 151,755.96 and 59,666.50

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Solution

The fourth proportional to 109,967.50, 151,755.96 and 59,666.50 is: 82,340.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,967.50 : 151,755.96 = 59,666.50 : x
  2. Step 2: Convert to fraction form
    109,967.50/151,755.96 = 59,666.50/x
  3. Step 3: Cross multiply
    109,967.50x = 151,755.96 × 59,666.50
  4. Step 4: Simplify right side
    109,967.50x = 9,054,746,987.34
  5. Step 5: Solve for x
    x = 9,054,746,987.34/109,967.50
  6. Step 6: Final answer
    x = 82,340.21

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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.