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Finding the Fourth Proportional to 155,424.90, 233,137.35 and 152,832.90

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Solution

The fourth proportional to 155,424.90, 233,137.35 and 152,832.90 is: 229,249.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,424.90 : 233,137.35 = 152,832.90 : x
  2. Step 2: Convert to fraction form
    155,424.90/233,137.35 = 152,832.90/x
  3. Step 3: Cross multiply
    155,424.90x = 233,137.35 × 152,832.90
  4. Step 4: Simplify right side
    155,424.90x = 35,631,057,298.82
  5. Step 5: Solve for x
    x = 35,631,057,298.82/155,424.90
  6. Step 6: Final answer
    x = 229,249.35

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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.