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Finding the Fourth Proportional to 205,904.90, 309,030.15 and 100,813.70

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Solution

The fourth proportional to 205,904.90, 309,030.15 and 100,813.70 is: 151,305.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,904.90 : 309,030.15 = 100,813.70 : x
  2. Step 2: Convert to fraction form
    205,904.90/309,030.15 = 100,813.70/x
  3. Step 3: Cross multiply
    205,904.90x = 309,030.15 × 100,813.70
  4. Step 4: Simplify right side
    205,904.90x = 31,154,472,833.06
  5. Step 5: Solve for x
    x = 31,154,472,833.06/205,904.90
  6. Step 6: Final answer
    x = 151,305.16

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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.