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Finding the Fourth Proportional to 205,875.60, 308,813.40 and 202,376.40

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Solution

The fourth proportional to 205,875.60, 308,813.40 and 202,376.40 is: 303,564.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,875.60 : 308,813.40 = 202,376.40 : x
  2. Step 2: Convert to fraction form
    205,875.60/308,813.40 = 202,376.40/x
  3. Step 3: Cross multiply
    205,875.60x = 308,813.40 × 202,376.40
  4. Step 4: Simplify right side
    205,875.60x = 62,496,544,163.76
  5. Step 5: Solve for x
    x = 62,496,544,163.76/205,875.60
  6. Step 6: Final answer
    x = 303,564.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.