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Finding the Fourth Proportional to 111,706.90, 154,104.14 and 98,973.08

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Solution

The fourth proportional to 111,706.90, 154,104.14 and 98,973.08 is: 136,537.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,706.90 : 154,104.14 = 98,973.08 : x
  2. Step 2: Convert to fraction form
    111,706.90/154,104.14 = 98,973.08/x
  3. Step 3: Cross multiply
    111,706.90x = 154,104.14 × 98,973.08
  4. Step 4: Simplify right side
    111,706.90x = 15,252,161,376.55
  5. Step 5: Solve for x
    x = 15,252,161,376.55/111,706.90
  6. Step 6: Final answer
    x = 136,537.33

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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.