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Finding the Fourth Proportional to 110,009.64, 151,813.29 and 59,708.64

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Solution

The fourth proportional to 110,009.64, 151,813.29 and 59,708.64 is: 82,397.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,009.64 : 151,813.29 = 59,708.64 : x
  2. Step 2: Convert to fraction form
    110,009.64/151,813.29 = 59,708.64/x
  3. Step 3: Cross multiply
    110,009.64x = 151,813.29 × 59,708.64
  4. Step 4: Simplify right side
    110,009.64x = 9,064,565,079.83
  5. Step 5: Solve for x
    x = 9,064,565,079.83/110,009.64
  6. Step 6: Final answer
    x = 82,397.92

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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.