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Finding the Fourth Proportional to 208,166.94, 312,261.56 and 66,023.01

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Solution

The fourth proportional to 208,166.94, 312,261.56 and 66,023.01 is: 99,038.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,166.94 : 312,261.56 = 66,023.01 : x
  2. Step 2: Convert to fraction form
    208,166.94/312,261.56 = 66,023.01/x
  3. Step 3: Cross multiply
    208,166.94x = 312,261.56 × 66,023.01
  4. Step 4: Simplify right side
    208,166.94x = 20,616,447,768.38
  5. Step 5: Solve for x
    x = 20,616,447,768.38/208,166.94
  6. Step 6: Final answer
    x = 99,038.05

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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.