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Finding the Fourth Proportional to 233,165.40, 349,748.10 and 158,321.40

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Solution

The fourth proportional to 233,165.40, 349,748.10 and 158,321.40 is: 237,482.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,165.40 : 349,748.10 = 158,321.40 : x
  2. Step 2: Convert to fraction form
    233,165.40/349,748.10 = 158,321.40/x
  3. Step 3: Cross multiply
    233,165.40x = 349,748.10 × 158,321.40
  4. Step 4: Simplify right side
    233,165.40x = 55,372,608,839.34
  5. Step 5: Solve for x
    x = 55,372,608,839.34/233,165.40
  6. Step 6: Final answer
    x = 237,482.10

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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.