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Finding the Fourth Proportional to 200,895.90, 277,248.62 and 132,794.74

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Solution

The fourth proportional to 200,895.90, 277,248.62 and 132,794.74 is: 183,264.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,895.90 : 277,248.62 = 132,794.74 : x
  2. Step 2: Convert to fraction form
    200,895.90/277,248.62 = 132,794.74/x
  3. Step 3: Cross multiply
    200,895.90x = 277,248.62 × 132,794.74
  4. Step 4: Simplify right side
    200,895.90x = 36,817,159,086.81
  5. Step 5: Solve for x
    x = 36,817,159,086.81/200,895.90
  6. Step 6: Final answer
    x = 183,264.86

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Why These Related Problems?

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