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Finding the Fourth Proportional to 288,045.18, 432,067.68 and 77,683.02

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Solution

The fourth proportional to 288,045.18, 432,067.68 and 77,683.02 is: 116,524.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,045.18 : 432,067.68 = 77,683.02 : x
  2. Step 2: Convert to fraction form
    288,045.18/432,067.68 = 77,683.02/x
  3. Step 3: Cross multiply
    288,045.18x = 432,067.68 × 77,683.02
  4. Step 4: Simplify right side
    288,045.18x = 33,564,322,226.79
  5. Step 5: Solve for x
    x = 33,564,322,226.79/288,045.18
  6. Step 6: Final answer
    x = 116,524.51

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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.