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Finding the Fourth Proportional to 176,709.92, 243,841.46 and 105,076.10

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Solution

The fourth proportional to 176,709.92, 243,841.46 and 105,076.10 is: 144,994.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,709.92 : 243,841.46 = 105,076.10 : x
  2. Step 2: Convert to fraction form
    176,709.92/243,841.46 = 105,076.10/x
  3. Step 3: Cross multiply
    176,709.92x = 243,841.46 × 105,076.10
  4. Step 4: Simplify right side
    176,709.92x = 25,621,909,635.11
  5. Step 5: Solve for x
    x = 25,621,909,635.11/176,709.92
  6. Step 6: Final answer
    x = 144,994.18

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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.