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Finding the Fourth Proportional to 97,300.64, 134,271.84 and 54,858.56

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Solution

The fourth proportional to 97,300.64, 134,271.84 and 54,858.56 is: 75,703.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,300.64 : 134,271.84 = 54,858.56 : x
  2. Step 2: Convert to fraction form
    97,300.64/134,271.84 = 54,858.56/x
  3. Step 3: Cross multiply
    97,300.64x = 134,271.84 × 54,858.56
  4. Step 4: Simplify right side
    97,300.64x = 7,365,959,790.95
  5. Step 5: Solve for x
    x = 7,365,959,790.95/97,300.64
  6. Step 6: Final answer
    x = 75,703.10

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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.