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Finding the Fourth Proportional to 202,007.04, 303,054.24 and 77,348

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Solution

The fourth proportional to 202,007.04, 303,054.24 and 77,348 is: 116,038.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,007.04 : 303,054.24 = 77,348 : x
  2. Step 2: Convert to fraction form
    202,007.04/303,054.24 = 77,348/x
  3. Step 3: Cross multiply
    202,007.04x = 303,054.24 × 77,348
  4. Step 4: Simplify right side
    202,007.04x = 23,440,639,355.52
  5. Step 5: Solve for x
    x = 23,440,639,355.52/202,007.04
  6. Step 6: Final answer
    x = 116,038.72

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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.