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Finding the Fourth Proportional to 109,954.18, 151,733.28 and 59,653.18

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Solution

The fourth proportional to 109,954.18, 151,733.28 and 59,653.18 is: 82,319.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,954.18 : 151,733.28 = 59,653.18 : x
  2. Step 2: Convert to fraction form
    109,954.18/151,733.28 = 59,653.18/x
  3. Step 3: Cross multiply
    109,954.18x = 151,733.28 × 59,653.18
  4. Step 4: Simplify right side
    109,954.18x = 9,051,372,663.83
  5. Step 5: Solve for x
    x = 9,051,372,663.83/109,954.18
  6. Step 6: Final answer
    x = 82,319.50

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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.