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Finding the Fourth Proportional to 177,885.63, 245,488.25 and 101,416.10

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Solution

The fourth proportional to 177,885.63, 245,488.25 and 101,416.10 is: 139,957.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,885.63 : 245,488.25 = 101,416.10 : x
  2. Step 2: Convert to fraction form
    177,885.63/245,488.25 = 101,416.10/x
  3. Step 3: Cross multiply
    177,885.63x = 245,488.25 × 101,416.10
  4. Step 4: Simplify right side
    177,885.63x = 24,896,459,936.92
  5. Step 5: Solve for x
    x = 24,896,459,936.92/177,885.63
  6. Step 6: Final answer
    x = 139,957.68

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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.