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Finding the Fourth Proportional to 133,051.40, 199,868.70 and 98,214.92

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Solution

The fourth proportional to 133,051.40, 199,868.70 and 98,214.92 is: 147,537.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,051.40 : 199,868.70 = 98,214.92 : x
  2. Step 2: Convert to fraction form
    133,051.40/199,868.70 = 98,214.92/x
  3. Step 3: Cross multiply
    133,051.40x = 199,868.70 × 98,214.92
  4. Step 4: Simplify right side
    133,051.40x = 19,630,088,381.00
  5. Step 5: Solve for x
    x = 19,630,088,381.00/133,051.40
  6. Step 6: Final answer
    x = 147,537.63

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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.