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Finding the Fourth Proportional to 110,534.16, 165,850.20 and 57,931.08

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Solution

The fourth proportional to 110,534.16, 165,850.20 and 57,931.08 is: 86,922.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,534.16 : 165,850.20 = 57,931.08 : x
  2. Step 2: Convert to fraction form
    110,534.16/165,850.20 = 57,931.08/x
  3. Step 3: Cross multiply
    110,534.16x = 165,850.20 × 57,931.08
  4. Step 4: Simplify right side
    110,534.16x = 9,607,881,204.22
  5. Step 5: Solve for x
    x = 9,607,881,204.22/110,534.16
  6. Step 6: Final answer
    x = 86,922.28

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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.