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Finding the Fourth Proportional to 106,094.59, 159,043.01 and 72,830.32

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Solution

The fourth proportional to 106,094.59, 159,043.01 and 72,830.32 is: 109,177.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,094.59 : 159,043.01 = 72,830.32 : x
  2. Step 2: Convert to fraction form
    106,094.59/159,043.01 = 72,830.32/x
  3. Step 3: Cross multiply
    106,094.59x = 159,043.01 × 72,830.32
  4. Step 4: Simplify right side
    106,094.59x = 11,583,152,550.30
  5. Step 5: Solve for x
    x = 11,583,152,550.30/106,094.59
  6. Step 6: Final answer
    x = 109,177.60

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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.