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Finding the Fourth Proportional to 163,683.63, 225,944.60 and 107,095.01

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Solution

The fourth proportional to 163,683.63, 225,944.60 and 107,095.01 is: 147,831.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,683.63 : 225,944.60 = 107,095.01 : x
  2. Step 2: Convert to fraction form
    163,683.63/225,944.60 = 107,095.01/x
  3. Step 3: Cross multiply
    163,683.63x = 225,944.60 × 107,095.01
  4. Step 4: Simplify right side
    163,683.63x = 24,197,537,531.25
  5. Step 5: Solve for x
    x = 24,197,537,531.25/163,683.63
  6. Step 6: Final answer
    x = 147,831.14

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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.