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Finding the Fourth Proportional to 145,124.40, 200,246.40 and 81,464.88

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Solution

The fourth proportional to 145,124.40, 200,246.40 and 81,464.88 is: 112,407.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,124.40 : 200,246.40 = 81,464.88 : x
  2. Step 2: Convert to fraction form
    145,124.40/200,246.40 = 81,464.88/x
  3. Step 3: Cross multiply
    145,124.40x = 200,246.40 × 81,464.88
  4. Step 4: Simplify right side
    145,124.40x = 16,313,048,946.43
  5. Step 5: Solve for x
    x = 16,313,048,946.43/145,124.40
  6. Step 6: Final answer
    x = 112,407.35

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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.