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Finding the Fourth Proportional to 108,641.16, 149,929.14 and 60,894.16

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Solution

The fourth proportional to 108,641.16, 149,929.14 and 60,894.16 is: 84,036.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,641.16 : 149,929.14 = 60,894.16 : x
  2. Step 2: Convert to fraction form
    108,641.16/149,929.14 = 60,894.16/x
  3. Step 3: Cross multiply
    108,641.16x = 149,929.14 × 60,894.16
  4. Step 4: Simplify right side
    108,641.16x = 9,129,809,039.82
  5. Step 5: Solve for x
    x = 9,129,809,039.82/108,641.16
  6. Step 6: Final answer
    x = 84,036.37

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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.