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Finding the Fourth Proportional to 205,030.30, 307,545.45 and 184,294.30

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Solution

The fourth proportional to 205,030.30, 307,545.45 and 184,294.30 is: 276,441.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,030.30 : 307,545.45 = 184,294.30 : x
  2. Step 2: Convert to fraction form
    205,030.30/307,545.45 = 184,294.30/x
  3. Step 3: Cross multiply
    205,030.30x = 307,545.45 × 184,294.30
  4. Step 4: Simplify right side
    205,030.30x = 56,678,873,425.94
  5. Step 5: Solve for x
    x = 56,678,873,425.94/205,030.30
  6. Step 6: Final answer
    x = 276,441.45

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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.