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Finding the Fourth Proportional to 260,746.48, 359,800.38 and 146,009.16

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Solution

The fourth proportional to 260,746.48, 359,800.38 and 146,009.16 is: 201,475.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,746.48 : 359,800.38 = 146,009.16 : x
  2. Step 2: Convert to fraction form
    260,746.48/359,800.38 = 146,009.16/x
  3. Step 3: Cross multiply
    260,746.48x = 359,800.38 × 146,009.16
  4. Step 4: Simplify right side
    260,746.48x = 52,534,151,251.48
  5. Step 5: Solve for x
    x = 52,534,151,251.48/260,746.48
  6. Step 6: Final answer
    x = 201,475.97

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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.