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Finding the Fourth Proportional to 136,418.76, 204,656.49 and 57,533.67

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Solution

The fourth proportional to 136,418.76, 204,656.49 and 57,533.67 is: 86,312.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,418.76 : 204,656.49 = 57,533.67 : x
  2. Step 2: Convert to fraction form
    136,418.76/204,656.49 = 57,533.67/x
  3. Step 3: Cross multiply
    136,418.76x = 204,656.49 × 57,533.67
  4. Step 4: Simplify right side
    136,418.76x = 11,774,638,959.02
  5. Step 5: Solve for x
    x = 11,774,638,959.02/136,418.76
  6. Step 6: Final answer
    x = 86,312.46

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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.