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Finding the Fourth Proportional to 145,745.66, 201,143.36 and 85,312.64

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Solution

The fourth proportional to 145,745.66, 201,143.36 and 85,312.64 is: 117,739.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,745.66 : 201,143.36 = 85,312.64 : x
  2. Step 2: Convert to fraction form
    145,745.66/201,143.36 = 85,312.64/x
  3. Step 3: Cross multiply
    145,745.66x = 201,143.36 × 85,312.64
  4. Step 4: Simplify right side
    145,745.66x = 17,160,071,060.07
  5. Step 5: Solve for x
    x = 17,160,071,060.07/145,745.66
  6. Step 6: Final answer
    x = 117,739.84

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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.