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Finding the Fourth Proportional to 162,718.86, 224,525.30 and 102,246.69

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Solution

The fourth proportional to 162,718.86, 224,525.30 and 102,246.69 is: 141,083.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,718.86 : 224,525.30 = 102,246.69 : x
  2. Step 2: Convert to fraction form
    162,718.86/224,525.30 = 102,246.69/x
  3. Step 3: Cross multiply
    162,718.86x = 224,525.30 × 102,246.69
  4. Step 4: Simplify right side
    162,718.86x = 22,956,968,235.02
  5. Step 5: Solve for x
    x = 22,956,968,235.02/162,718.86
  6. Step 6: Final answer
    x = 141,083.63

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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.