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Finding the Fourth Proportional to 110,557.44, 152,591.04 and 77,004

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Solution

The fourth proportional to 110,557.44, 152,591.04 and 77,004 is: 106,280.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,557.44 : 152,591.04 = 77,004 : x
  2. Step 2: Convert to fraction form
    110,557.44/152,591.04 = 77,004/x
  3. Step 3: Cross multiply
    110,557.44x = 152,591.04 × 77,004
  4. Step 4: Simplify right side
    110,557.44x = 11,750,120,444.16
  5. Step 5: Solve for x
    x = 11,750,120,444.16/110,557.44
  6. Step 6: Final answer
    x = 106,280.68

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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.