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Finding the Fourth Proportional to 117,814.38, 162,580.95 and 64,099.50

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Solution

The fourth proportional to 117,814.38, 162,580.95 and 64,099.50 is: 88,455.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,814.38 : 162,580.95 = 64,099.50 : x
  2. Step 2: Convert to fraction form
    117,814.38/162,580.95 = 64,099.50/x
  3. Step 3: Cross multiply
    117,814.38x = 162,580.95 × 64,099.50
  4. Step 4: Simplify right side
    117,814.38x = 10,421,357,604.53
  5. Step 5: Solve for x
    x = 10,421,357,604.53/117,814.38
  6. Step 6: Final answer
    x = 88,455.74

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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.