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Finding the Fourth Proportional to 161,370.59, 241,834.44 and 102,100.16

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Solution

The fourth proportional to 161,370.59, 241,834.44 and 102,100.16 is: 153,010.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,370.59 : 241,834.44 = 102,100.16 : x
  2. Step 2: Convert to fraction form
    161,370.59/241,834.44 = 102,100.16/x
  3. Step 3: Cross multiply
    161,370.59x = 241,834.44 × 102,100.16
  4. Step 4: Simplify right side
    161,370.59x = 24,691,335,017.51
  5. Step 5: Solve for x
    x = 24,691,335,017.51/161,370.59
  6. Step 6: Final answer
    x = 153,010.13

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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.