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Finding the Fourth Proportional to 288,785.27, 432,816.75 and 138,985.49

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Solution

The fourth proportional to 288,785.27, 432,816.75 and 138,985.49 is: 208,304.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,785.27 : 432,816.75 = 138,985.49 : x
  2. Step 2: Convert to fraction form
    288,785.27/432,816.75 = 138,985.49/x
  3. Step 3: Cross multiply
    288,785.27x = 432,816.75 × 138,985.49
  4. Step 4: Simplify right side
    288,785.27x = 60,155,249,161.00
  5. Step 5: Solve for x
    x = 60,155,249,161.00/288,785.27
  6. Step 6: Final answer
    x = 208,304.42

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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.