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Finding the Fourth Proportional to 177,878.84, 245,477.39 and 97,309.76

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Solution

The fourth proportional to 177,878.84, 245,477.39 and 97,309.76 is: 134,289.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,878.84 : 245,477.39 = 97,309.76 : x
  2. Step 2: Convert to fraction form
    177,878.84/245,477.39 = 97,309.76/x
  3. Step 3: Cross multiply
    177,878.84x = 245,477.39 × 97,309.76
  4. Step 4: Simplify right side
    177,878.84x = 23,887,344,192.39
  5. Step 5: Solve for x
    x = 23,887,344,192.39/177,878.84
  6. Step 6: Final answer
    x = 134,289.97

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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.