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Finding the Fourth Proportional to 145,767.90, 201,090.96 and 85,301.46

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Solution

The fourth proportional to 145,767.90, 201,090.96 and 85,301.46 is: 117,675.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,767.90 : 201,090.96 = 85,301.46 : x
  2. Step 2: Convert to fraction form
    145,767.90/201,090.96 = 85,301.46/x
  3. Step 3: Cross multiply
    145,767.90x = 201,090.96 × 85,301.46
  4. Step 4: Simplify right side
    145,767.90x = 17,153,352,480.80
  5. Step 5: Solve for x
    x = 17,153,352,480.80/145,767.90
  6. Step 6: Final answer
    x = 117,675.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.