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Finding the Fourth Proportional to 157,966.40, 236,949.60 and 157,966.40

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Solution

The fourth proportional to 157,966.40, 236,949.60 and 157,966.40 is: 236,949.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,966.40 : 236,949.60 = 157,966.40 : x
  2. Step 2: Convert to fraction form
    157,966.40/236,949.60 = 157,966.40/x
  3. Step 3: Cross multiply
    157,966.40x = 236,949.60 × 157,966.40
  4. Step 4: Simplify right side
    157,966.40x = 37,430,075,293.44
  5. Step 5: Solve for x
    x = 37,430,075,293.44/157,966.40
  6. Step 6: Final answer
    x = 236,949.60

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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.