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Finding the Fourth Proportional to 176,645.61, 243,794.34 and 105,065.10

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Solution

The fourth proportional to 176,645.61, 243,794.34 and 105,065.10 is: 145,003.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,645.61 : 243,794.34 = 105,065.10 : x
  2. Step 2: Convert to fraction form
    176,645.61/243,794.34 = 105,065.10/x
  3. Step 3: Cross multiply
    176,645.61x = 243,794.34 × 105,065.10
  4. Step 4: Simplify right side
    176,645.61x = 25,614,276,711.53
  5. Step 5: Solve for x
    x = 25,614,276,711.53/176,645.61
  6. Step 6: Final answer
    x = 145,003.75

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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.