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Finding the Fourth Proportional to 148,608.64, 205,079.93 and 84,947.82

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Solution

The fourth proportional to 148,608.64, 205,079.93 and 84,947.82 is: 117,228.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,608.64 : 205,079.93 = 84,947.82 : x
  2. Step 2: Convert to fraction form
    148,608.64/205,079.93 = 84,947.82/x
  3. Step 3: Cross multiply
    148,608.64x = 205,079.93 × 84,947.82
  4. Step 4: Simplify right side
    148,608.64x = 17,421,092,979.25
  5. Step 5: Solve for x
    x = 17,421,092,979.25/148,608.64
  6. Step 6: Final answer
    x = 117,228.00

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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.