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Finding the Fourth Proportional to 233,117.40, 349,676.10 and 186,461.40

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Solution

The fourth proportional to 233,117.40, 349,676.10 and 186,461.40 is: 279,692.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,117.40 : 349,676.10 = 186,461.40 : x
  2. Step 2: Convert to fraction form
    233,117.40/349,676.10 = 186,461.40/x
  3. Step 3: Cross multiply
    233,117.40x = 349,676.10 × 186,461.40
  4. Step 4: Simplify right side
    233,117.40x = 65,201,095,152.54
  5. Step 5: Solve for x
    x = 65,201,095,152.54/233,117.40
  6. Step 6: Final answer
    x = 279,692.10

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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.