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Finding the Fourth Proportional to 119,416.16, 164,801.16 and 65,702.49

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Solution

The fourth proportional to 119,416.16, 164,801.16 and 65,702.49 is: 90,673.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,416.16 : 164,801.16 = 65,702.49 : x
  2. Step 2: Convert to fraction form
    119,416.16/164,801.16 = 65,702.49/x
  3. Step 3: Cross multiply
    119,416.16x = 164,801.16 × 65,702.49
  4. Step 4: Simplify right side
    119,416.16x = 10,827,846,566.89
  5. Step 5: Solve for x
    x = 10,827,846,566.89/119,416.16
  6. Step 6: Final answer
    x = 90,673.21

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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.