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Finding the Fourth Proportional to 205,143.84, 282,875.32 and 133,390.80

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Solution

The fourth proportional to 205,143.84, 282,875.32 and 133,390.80 is: 183,934.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,143.84 : 282,875.32 = 133,390.80 : x
  2. Step 2: Convert to fraction form
    205,143.84/282,875.32 = 133,390.80/x
  3. Step 3: Cross multiply
    205,143.84x = 282,875.32 × 133,390.80
  4. Step 4: Simplify right side
    205,143.84x = 37,732,963,820.68
  5. Step 5: Solve for x
    x = 37,732,963,820.68/205,143.84
  6. Step 6: Final answer
    x = 183,934.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.