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Finding the Fourth Proportional to 157,431.40, 236,147.10 and 150,870.40

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Solution

The fourth proportional to 157,431.40, 236,147.10 and 150,870.40 is: 226,305.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,431.40 : 236,147.10 = 150,870.40 : x
  2. Step 2: Convert to fraction form
    157,431.40/236,147.10 = 150,870.40/x
  3. Step 3: Cross multiply
    157,431.40x = 236,147.10 × 150,870.40
  4. Step 4: Simplify right side
    157,431.40x = 35,627,607,435.84
  5. Step 5: Solve for x
    x = 35,627,607,435.84/157,431.40
  6. Step 6: Final answer
    x = 226,305.60

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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.