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Finding the Fourth Proportional to 149,275.76, 205,984.24 and 88,838.01

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Solution

The fourth proportional to 149,275.76, 205,984.24 and 88,838.01 is: 122,586.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,275.76 : 205,984.24 = 88,838.01 : x
  2. Step 2: Convert to fraction form
    149,275.76/205,984.24 = 88,838.01/x
  3. Step 3: Cross multiply
    149,275.76x = 205,984.24 × 88,838.01
  4. Step 4: Simplify right side
    149,275.76x = 18,299,229,750.87
  5. Step 5: Solve for x
    x = 18,299,229,750.87/149,275.76
  6. Step 6: Final answer
    x = 122,586.75

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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.