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Finding the Fourth Proportional to 137,203.59, 205,842.33 and 70,607.43

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Solution

The fourth proportional to 137,203.59, 205,842.33 and 70,607.43 is: 105,930.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,203.59 : 205,842.33 = 70,607.43 : x
  2. Step 2: Convert to fraction form
    137,203.59/205,842.33 = 70,607.43/x
  3. Step 3: Cross multiply
    137,203.59x = 205,842.33 × 70,607.43
  4. Step 4: Simplify right side
    137,203.59x = 14,533,997,906.51
  5. Step 5: Solve for x
    x = 14,533,997,906.51/137,203.59
  6. Step 6: Final answer
    x = 105,930.16

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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.