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Finding the Fourth Proportional to 205,320.86, 283,339.79 and 114,678.08

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Solution

The fourth proportional to 205,320.86, 283,339.79 and 114,678.08 is: 158,254.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,320.86 : 283,339.79 = 114,678.08 : x
  2. Step 2: Convert to fraction form
    205,320.86/283,339.79 = 114,678.08/x
  3. Step 3: Cross multiply
    205,320.86x = 283,339.79 × 114,678.08
  4. Step 4: Simplify right side
    205,320.86x = 32,492,862,607.28
  5. Step 5: Solve for x
    x = 32,492,862,607.28/205,320.86
  6. Step 6: Final answer
    x = 158,254.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.