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Finding the Fourth Proportional to 260,923.61, 360,091.76 and 146,196.02

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Solution

The fourth proportional to 260,923.61, 360,091.76 and 146,196.02 is: 201,760.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,923.61 : 360,091.76 = 146,196.02 : x
  2. Step 2: Convert to fraction form
    260,923.61/360,091.76 = 146,196.02/x
  3. Step 3: Cross multiply
    260,923.61x = 360,091.76 × 146,196.02
  4. Step 4: Simplify right side
    260,923.61x = 52,643,979,615.36
  5. Step 5: Solve for x
    x = 52,643,979,615.36/260,923.61
  6. Step 6: Final answer
    x = 201,760.13

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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.