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Finding the Fourth Proportional to 208,458.02, 287,667.86 and 116,577.02

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Solution

The fourth proportional to 208,458.02, 287,667.86 and 116,577.02 is: 160,873.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,458.02 : 287,667.86 = 116,577.02 : x
  2. Step 2: Convert to fraction form
    208,458.02/287,667.86 = 116,577.02/x
  3. Step 3: Cross multiply
    208,458.02x = 287,667.86 × 116,577.02
  4. Step 4: Simplify right side
    208,458.02x = 33,535,462,004.86
  5. Step 5: Solve for x
    x = 33,535,462,004.86/208,458.02
  6. Step 6: Final answer
    x = 160,873.93

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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.