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Finding the Fourth Proportional to 137,009.15, 205,416.53 and 62,165.15

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Solution

The fourth proportional to 137,009.15, 205,416.53 and 62,165.15 is: 93,203.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,009.15 : 205,416.53 = 62,165.15 : x
  2. Step 2: Convert to fraction form
    137,009.15/205,416.53 = 62,165.15/x
  3. Step 3: Cross multiply
    137,009.15x = 205,416.53 × 62,165.15
  4. Step 4: Simplify right side
    137,009.15x = 12,769,749,089.10
  5. Step 5: Solve for x
    x = 12,769,749,089.10/137,009.15
  6. Step 6: Final answer
    x = 93,203.62

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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.