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Finding the Fourth Proportional to 162,874.93, 224,779.83 and 102,497.32

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Solution

The fourth proportional to 162,874.93, 224,779.83 and 102,497.32 is: 141,454.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,874.93 : 224,779.83 = 102,497.32 : x
  2. Step 2: Convert to fraction form
    162,874.93/224,779.83 = 102,497.32/x
  3. Step 3: Cross multiply
    162,874.93x = 224,779.83 × 102,497.32
  4. Step 4: Simplify right side
    162,874.93x = 23,039,330,165.06
  5. Step 5: Solve for x
    x = 23,039,330,165.06/162,874.93
  6. Step 6: Final answer
    x = 141,454.12

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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.