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Finding the Fourth Proportional to 151,617.94, 209,300.02 and 97,929.14

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Solution

The fourth proportional to 151,617.94, 209,300.02 and 97,929.14 is: 135,185.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,617.94 : 209,300.02 = 97,929.14 : x
  2. Step 2: Convert to fraction form
    151,617.94/209,300.02 = 97,929.14/x
  3. Step 3: Cross multiply
    151,617.94x = 209,300.02 × 97,929.14
  4. Step 4: Simplify right side
    151,617.94x = 20,496,569,669.26
  5. Step 5: Solve for x
    x = 20,496,569,669.26/151,617.94
  6. Step 6: Final answer
    x = 135,185.65

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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.