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Finding the Fourth Proportional to 233,123.40, 349,685.10 and 186,467.40

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Solution

The fourth proportional to 233,123.40, 349,685.10 and 186,467.40 is: 279,701.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,123.40 : 349,685.10 = 186,467.40 : x
  2. Step 2: Convert to fraction form
    233,123.40/349,685.10 = 186,467.40/x
  3. Step 3: Cross multiply
    233,123.40x = 349,685.10 × 186,467.40
  4. Step 4: Simplify right side
    233,123.40x = 65,204,871,415.74
  5. Step 5: Solve for x
    x = 65,204,871,415.74/233,123.40
  6. Step 6: Final answer
    x = 279,701.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.