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Finding the Fourth Proportional to 119,276.70, 164,603.14 and 64,828.86

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Solution

The fourth proportional to 119,276.70, 164,603.14 and 64,828.86 is: 89,464.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,276.70 : 164,603.14 = 64,828.86 : x
  2. Step 2: Convert to fraction form
    119,276.70/164,603.14 = 64,828.86/x
  3. Step 3: Cross multiply
    119,276.70x = 164,603.14 × 64,828.86
  4. Step 4: Simplify right side
    119,276.70x = 10,671,033,918.62
  5. Step 5: Solve for x
    x = 10,671,033,918.62/119,276.70
  6. Step 6: Final answer
    x = 89,464.53

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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.