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Finding the Fourth Proportional to 110,390.64, 164,737.64 and 98,580.24

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Solution

The fourth proportional to 110,390.64, 164,737.64 and 98,580.24 is: 147,112.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,390.64 : 164,737.64 = 98,580.24 : x
  2. Step 2: Convert to fraction form
    110,390.64/164,737.64 = 98,580.24/x
  3. Step 3: Cross multiply
    110,390.64x = 164,737.64 × 98,580.24
  4. Step 4: Simplify right side
    110,390.64x = 16,239,876,088.23
  5. Step 5: Solve for x
    x = 16,239,876,088.23/110,390.64
  6. Step 6: Final answer
    x = 147,112.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.