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Finding the Fourth Proportional to 145,673.73, 201,048.92 and 82,023.93

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Solution

The fourth proportional to 145,673.73, 201,048.92 and 82,023.93 is: 113,203.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,673.73 : 201,048.92 = 82,023.93 : x
  2. Step 2: Convert to fraction form
    145,673.73/201,048.92 = 82,023.93/x
  3. Step 3: Cross multiply
    145,673.73x = 201,048.92 × 82,023.93
  4. Step 4: Simplify right side
    145,673.73x = 16,490,822,130.54
  5. Step 5: Solve for x
    x = 16,490,822,130.54/145,673.73
  6. Step 6: Final answer
    x = 113,203.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.