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Finding the Fourth Proportional to 101,859.42, 153,038.22 and 96,194.40

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Solution

The fourth proportional to 101,859.42, 153,038.22 and 96,194.40 is: 144,526.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,859.42 : 153,038.22 = 96,194.40 : x
  2. Step 2: Convert to fraction form
    101,859.42/153,038.22 = 96,194.40/x
  3. Step 3: Cross multiply
    101,859.42x = 153,038.22 × 96,194.40
  4. Step 4: Simplify right side
    101,859.42x = 14,721,419,749.97
  5. Step 5: Solve for x
    x = 14,721,419,749.97/101,859.42
  6. Step 6: Final answer
    x = 144,526.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.