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Finding the Fourth Proportional to 178,205.80, 245,924.21 and 97,638.48

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Solution

The fourth proportional to 178,205.80, 245,924.21 and 97,638.48 is: 134,741.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,205.80 : 245,924.21 = 97,638.48 : x
  2. Step 2: Convert to fraction form
    178,205.80/245,924.21 = 97,638.48/x
  3. Step 3: Cross multiply
    178,205.80x = 245,924.21 × 97,638.48
  4. Step 4: Simplify right side
    178,205.80x = 24,011,666,059.60
  5. Step 5: Solve for x
    x = 24,011,666,059.60/178,205.80
  6. Step 6: Final answer
    x = 134,741.22

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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.