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Finding the Fourth Proportional to 208,101.60, 312,094.80 and 83,455.20

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Solution

The fourth proportional to 208,101.60, 312,094.80 and 83,455.20 is: 125,159.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,101.60 : 312,094.80 = 83,455.20 : x
  2. Step 2: Convert to fraction form
    208,101.60/312,094.80 = 83,455.20/x
  3. Step 3: Cross multiply
    208,101.60x = 312,094.80 × 83,455.20
  4. Step 4: Simplify right side
    208,101.60x = 26,045,933,952.96
  5. Step 5: Solve for x
    x = 26,045,933,952.96/208,101.60
  6. Step 6: Final answer
    x = 125,159.70

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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.