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Finding the Fourth Proportional to 145,025.36, 200,134.14 and 81,363

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Solution

The fourth proportional to 145,025.36, 200,134.14 and 81,363 is: 112,280.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,025.36 : 200,134.14 = 81,363 : x
  2. Step 2: Convert to fraction form
    145,025.36/200,134.14 = 81,363/x
  3. Step 3: Cross multiply
    145,025.36x = 200,134.14 × 81,363
  4. Step 4: Simplify right side
    145,025.36x = 16,283,514,032.82
  5. Step 5: Solve for x
    x = 16,283,514,032.82/145,025.36
  6. Step 6: Final answer
    x = 112,280.46

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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.