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Finding the Fourth Proportional to 157,041.32, 235,583.70 and 50,400.20

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Solution

The fourth proportional to 157,041.32, 235,583.70 and 50,400.20 is: 75,607.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,041.32 : 235,583.70 = 50,400.20 : x
  2. Step 2: Convert to fraction form
    157,041.32/235,583.70 = 50,400.20/x
  3. Step 3: Cross multiply
    157,041.32x = 235,583.70 × 50,400.20
  4. Step 4: Simplify right side
    157,041.32x = 11,873,465,596.74
  5. Step 5: Solve for x
    x = 11,873,465,596.74/157,041.32
  6. Step 6: Final answer
    x = 75,607.27

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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.