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Finding the Fourth Proportional to 233,749, 322,554.10 and 130,376.80

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Solution

The fourth proportional to 233,749, 322,554.10 and 130,376.80 is: 179,909.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,749 : 322,554.10 = 130,376.80 : x
  2. Step 2: Convert to fraction form
    233,749/322,554.10 = 130,376.80/x
  3. Step 3: Cross multiply
    233,749x = 322,554.10 × 130,376.80
  4. Step 4: Simplify right side
    233,749x = 42,053,571,384.88
  5. Step 5: Solve for x
    x = 42,053,571,384.88/233,749
  6. Step 6: Final answer
    x = 179,909.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.