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Finding the Fourth Proportional to 157,881.60, 236,822.40 and 137,606.40

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Solution

The fourth proportional to 157,881.60, 236,822.40 and 137,606.40 is: 206,409.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,881.60 : 236,822.40 = 137,606.40 : x
  2. Step 2: Convert to fraction form
    157,881.60/236,822.40 = 137,606.40/x
  3. Step 3: Cross multiply
    157,881.60x = 236,822.40 × 137,606.40
  4. Step 4: Simplify right side
    157,881.60x = 32,588,277,903.36
  5. Step 5: Solve for x
    x = 32,588,277,903.36/157,881.60
  6. Step 6: Final answer
    x = 206,409.60

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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.