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Finding the Fourth Proportional to 180,407.54, 248,956.28 and 99,838.46

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Solution

The fourth proportional to 180,407.54, 248,956.28 and 99,838.46 is: 137,773.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,407.54 : 248,956.28 = 99,838.46 : x
  2. Step 2: Convert to fraction form
    180,407.54/248,956.28 = 99,838.46/x
  3. Step 3: Cross multiply
    180,407.54x = 248,956.28 × 99,838.46
  4. Step 4: Simplify right side
    180,407.54x = 24,855,411,103.34
  5. Step 5: Solve for x
    x = 24,855,411,103.34/180,407.54
  6. Step 6: Final answer
    x = 137,773.68

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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.