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Finding the Fourth Proportional to 119,276.14, 164,602.36 and 64,828.32

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Solution

The fourth proportional to 119,276.14, 164,602.36 and 64,828.32 is: 89,463.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,276.14 : 164,602.36 = 64,828.32 : x
  2. Step 2: Convert to fraction form
    119,276.14/164,602.36 = 64,828.32/x
  3. Step 3: Cross multiply
    119,276.14x = 164,602.36 × 64,828.32
  4. Step 4: Simplify right side
    119,276.14x = 10,670,894,466.84
  5. Step 5: Solve for x
    x = 10,670,894,466.84/119,276.14
  6. Step 6: Final answer
    x = 89,463.78

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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.