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Finding the Fourth Proportional to 205,302.40, 307,953.60 and 183,529.60

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Solution

The fourth proportional to 205,302.40, 307,953.60 and 183,529.60 is: 275,294.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,302.40 : 307,953.60 = 183,529.60 : x
  2. Step 2: Convert to fraction form
    205,302.40/307,953.60 = 183,529.60/x
  3. Step 3: Cross multiply
    205,302.40x = 307,953.60 × 183,529.60
  4. Step 4: Simplify right side
    205,302.40x = 56,518,601,026.56
  5. Step 5: Solve for x
    x = 56,518,601,026.56/205,302.40
  6. Step 6: Final answer
    x = 275,294.40

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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.