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Finding the Fourth Proportional to 119,084.49, 164,335.95 and 65,370.42

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Solution

The fourth proportional to 119,084.49, 164,335.95 and 65,370.42 is: 90,210.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,084.49 : 164,335.95 = 65,370.42 : x
  2. Step 2: Convert to fraction form
    119,084.49/164,335.95 = 65,370.42/x
  3. Step 3: Cross multiply
    119,084.49x = 164,335.95 × 65,370.42
  4. Step 4: Simplify right side
    119,084.49x = 10,742,710,072.60
  5. Step 5: Solve for x
    x = 10,742,710,072.60/119,084.49
  6. Step 6: Final answer
    x = 90,210.82

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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.