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Finding the Fourth Proportional to 119,784.94, 165,302.88 and 68,800.98

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Solution

The fourth proportional to 119,784.94, 165,302.88 and 68,800.98 is: 94,945.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,784.94 : 165,302.88 = 68,800.98 : x
  2. Step 2: Convert to fraction form
    119,784.94/165,302.88 = 68,800.98/x
  3. Step 3: Cross multiply
    119,784.94x = 165,302.88 × 68,800.98
  4. Step 4: Simplify right side
    119,784.94x = 11,373,000,140.82
  5. Step 5: Solve for x
    x = 11,373,000,140.82/119,784.94
  6. Step 6: Final answer
    x = 94,945.16

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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.