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Finding the Fourth Proportional to 288,542.88, 432,901.80 and 138,740.67

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Solution

The fourth proportional to 288,542.88, 432,901.80 and 138,740.67 is: 208,153.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,542.88 : 432,901.80 = 138,740.67 : x
  2. Step 2: Convert to fraction form
    288,542.88/432,901.80 = 138,740.67/x
  3. Step 3: Cross multiply
    288,542.88x = 432,901.80 × 138,740.67
  4. Step 4: Simplify right side
    288,542.88x = 60,061,085,776.21
  5. Step 5: Solve for x
    x = 60,061,085,776.21/288,542.88
  6. Step 6: Final answer
    x = 208,153.07

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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.