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Finding the Fourth Proportional to 137,208.10, 205,411.20 and 97,842.10

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Solution

The fourth proportional to 137,208.10, 205,411.20 and 97,842.10 is: 146,477.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,208.10 : 205,411.20 = 97,842.10 : x
  2. Step 2: Convert to fraction form
    137,208.10/205,411.20 = 97,842.10/x
  3. Step 3: Cross multiply
    137,208.10x = 205,411.20 × 97,842.10
  4. Step 4: Simplify right side
    137,208.10x = 20,097,863,171.52
  5. Step 5: Solve for x
    x = 20,097,863,171.52/137,208.10
  6. Step 6: Final answer
    x = 146,477.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.