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Finding the Fourth Proportional to 134,055.48, 201,083.22 and 45,309

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Solution

The fourth proportional to 134,055.48, 201,083.22 and 45,309 is: 67,963.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,055.48 : 201,083.22 = 45,309 : x
  2. Step 2: Convert to fraction form
    134,055.48/201,083.22 = 45,309/x
  3. Step 3: Cross multiply
    134,055.48x = 201,083.22 × 45,309
  4. Step 4: Simplify right side
    134,055.48x = 9,110,879,614.98
  5. Step 5: Solve for x
    x = 9,110,879,614.98/134,055.48
  6. Step 6: Final answer
    x = 67,963.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.