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Finding the Fourth Proportional to 200,931.59, 277,299.45 and 132,830.46

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Solution

The fourth proportional to 200,931.59, 277,299.45 and 132,830.46 is: 183,315.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,931.59 : 277,299.45 = 132,830.46 : x
  2. Step 2: Convert to fraction form
    200,931.59/277,299.45 = 132,830.46/x
  3. Step 3: Cross multiply
    200,931.59x = 277,299.45 × 132,830.46
  4. Step 4: Simplify right side
    200,931.59x = 36,833,812,721.34
  5. Step 5: Solve for x
    x = 36,833,812,721.34/200,931.59
  6. Step 6: Final answer
    x = 183,315.19

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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.