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Finding the Fourth Proportional to 100,866.40, 145,434.24 and 100,866.40

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Solution

The fourth proportional to 100,866.40, 145,434.24 and 100,866.40 is: 145,434.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,866.40 : 145,434.24 = 100,866.40 : x
  2. Step 2: Convert to fraction form
    100,866.40/145,434.24 = 100,866.40/x
  3. Step 3: Cross multiply
    100,866.40x = 145,434.24 × 100,866.40
  4. Step 4: Simplify right side
    100,866.40x = 14,669,428,225.54
  5. Step 5: Solve for x
    x = 14,669,428,225.54/100,866.40
  6. Step 6: Final answer
    x = 145,434.24

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.