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Finding the Fourth Proportional to 208,000.83, 287,016.45 and 117,351.50

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Solution

The fourth proportional to 208,000.83, 287,016.45 and 117,351.50 is: 161,931.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,000.83 : 287,016.45 = 117,351.50 : x
  2. Step 2: Convert to fraction form
    208,000.83/287,016.45 = 117,351.50/x
  3. Step 3: Cross multiply
    208,000.83x = 287,016.45 × 117,351.50
  4. Step 4: Simplify right side
    208,000.83x = 33,681,809,497.09
  5. Step 5: Solve for x
    x = 33,681,809,497.09/208,000.83
  6. Step 6: Final answer
    x = 161,931.13

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1.5x scale

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.