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Finding the Fourth Proportional to 85,643.40, 128,465.10 and 85,643.40

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Solution

The fourth proportional to 85,643.40, 128,465.10 and 85,643.40 is: 128,465.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,643.40 : 128,465.10 = 85,643.40 : x
  2. Step 2: Convert to fraction form
    85,643.40/128,465.10 = 85,643.40/x
  3. Step 3: Cross multiply
    85,643.40x = 128,465.10 × 85,643.40
  4. Step 4: Simplify right side
    85,643.40x = 11,002,187,945.34
  5. Step 5: Solve for x
    x = 11,002,187,945.34/85,643.40
  6. Step 6: Final answer
    x = 128,465.10

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