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Finding the Fourth Proportional to 110,088.98, 165,133.14 and 31,203.89

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Solution

The fourth proportional to 110,088.98, 165,133.14 and 31,203.89 is: 46,805.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,088.98 : 165,133.14 = 31,203.89 : x
  2. Step 2: Convert to fraction form
    110,088.98/165,133.14 = 31,203.89/x
  3. Step 3: Cross multiply
    110,088.98x = 165,133.14 × 31,203.89
  4. Step 4: Simplify right side
    110,088.98x = 5,152,795,510.25
  5. Step 5: Solve for x
    x = 5,152,795,510.25/110,088.98
  6. Step 6: Final answer
    x = 46,805.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.