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Finding the Fourth Proportional to 233,225.28, 322,031.70 and 182,148.84

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Solution

The fourth proportional to 233,225.28, 322,031.70 and 182,148.84 is: 251,506.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,225.28 : 322,031.70 = 182,148.84 : x
  2. Step 2: Convert to fraction form
    233,225.28/322,031.70 = 182,148.84/x
  3. Step 3: Cross multiply
    233,225.28x = 322,031.70 × 182,148.84
  4. Step 4: Simplify right side
    233,225.28x = 58,657,700,598.23
  5. Step 5: Solve for x
    x = 58,657,700,598.23/233,225.28
  6. Step 6: Final answer
    x = 251,506.61

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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.