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Finding the Fourth Proportional to 119,295.62, 164,631.12 and 64,851.47

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Solution

The fourth proportional to 119,295.62, 164,631.12 and 64,851.47 is: 89,496.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,295.62 : 164,631.12 = 64,851.47 : x
  2. Step 2: Convert to fraction form
    119,295.62/164,631.12 = 64,851.47/x
  3. Step 3: Cross multiply
    119,295.62x = 164,631.12 × 64,851.47
  4. Step 4: Simplify right side
    119,295.62x = 10,676,569,316.59
  5. Step 5: Solve for x
    x = 10,676,569,316.59/119,295.62
  6. Step 6: Final answer
    x = 89,496.75

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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.