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Finding the Fourth Proportional to 157,113.60, 235,621.44 and 51,907.20

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Solution

The fourth proportional to 157,113.60, 235,621.44 and 51,907.20 is: 77,844.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,113.60 : 235,621.44 = 51,907.20 : x
  2. Step 2: Convert to fraction form
    157,113.60/235,621.44 = 51,907.20/x
  3. Step 3: Cross multiply
    157,113.60x = 235,621.44 × 51,907.20
  4. Step 4: Simplify right side
    157,113.60x = 12,230,449,210.37
  5. Step 5: Solve for x
    x = 12,230,449,210.37/157,113.60
  6. Step 6: Final answer
    x = 77,844.62

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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.