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Finding the Fourth Proportional to 176,030.90, 264,046.35 and 105,874.10

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Solution

The fourth proportional to 176,030.90, 264,046.35 and 105,874.10 is: 158,811.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,030.90 : 264,046.35 = 105,874.10 : x
  2. Step 2: Convert to fraction form
    176,030.90/264,046.35 = 105,874.10/x
  3. Step 3: Cross multiply
    176,030.90x = 264,046.35 × 105,874.10
  4. Step 4: Simplify right side
    176,030.90x = 27,955,669,664.54
  5. Step 5: Solve for x
    x = 27,955,669,664.54/176,030.90
  6. Step 6: Final answer
    x = 158,811.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.