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Finding the Fourth Proportional to 209,778.94, 314,551.76 and 69,461.02

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Solution

The fourth proportional to 209,778.94, 314,551.76 and 69,461.02 is: 104,152.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,778.94 : 314,551.76 = 69,461.02 : x
  2. Step 2: Convert to fraction form
    209,778.94/314,551.76 = 69,461.02/x
  3. Step 3: Cross multiply
    209,778.94x = 314,551.76 × 69,461.02
  4. Step 4: Simplify right side
    209,778.94x = 21,849,086,092.40
  5. Step 5: Solve for x
    x = 21,849,086,092.40/209,778.94
  6. Step 6: Final answer
    x = 104,152.91

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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.