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Finding the Fourth Proportional to 145,225.64, 200,389.65 and 81,551.14

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Solution

The fourth proportional to 145,225.64, 200,389.65 and 81,551.14 is: 112,528.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,225.64 : 200,389.65 = 81,551.14 : x
  2. Step 2: Convert to fraction form
    145,225.64/200,389.65 = 81,551.14/x
  3. Step 3: Cross multiply
    145,225.64x = 200,389.65 × 81,551.14
  4. Step 4: Simplify right side
    145,225.64x = 16,342,003,594.91
  5. Step 5: Solve for x
    x = 16,342,003,594.91/145,225.64
  6. Step 6: Final answer
    x = 112,528.36

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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.