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Finding the Fourth Proportional to 157,226.52, 235,798.20 and 107,297.64

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Solution

The fourth proportional to 157,226.52, 235,798.20 and 107,297.64 is: 160,918.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,226.52 : 235,798.20 = 107,297.64 : x
  2. Step 2: Convert to fraction form
    157,226.52/235,798.20 = 107,297.64/x
  3. Step 3: Cross multiply
    157,226.52x = 235,798.20 × 107,297.64
  4. Step 4: Simplify right side
    157,226.52x = 25,300,590,376.25
  5. Step 5: Solve for x
    x = 25,300,590,376.25/157,226.52
  6. Step 6: Final answer
    x = 160,918.08

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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.