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Finding the Fourth Proportional to 208,098.60, 287,177.07 and 117,458.40

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Solution

The fourth proportional to 208,098.60, 287,177.07 and 117,458.40 is: 162,093.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,098.60 : 287,177.07 = 117,458.40 : x
  2. Step 2: Convert to fraction form
    208,098.60/287,177.07 = 117,458.40/x
  3. Step 3: Cross multiply
    208,098.60x = 287,177.07 × 117,458.40
  4. Step 4: Simplify right side
    208,098.60x = 33,731,359,158.89
  5. Step 5: Solve for x
    x = 33,731,359,158.89/208,098.60
  6. Step 6: Final answer
    x = 162,093.16

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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.