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Finding the Fourth Proportional to 201,827.50, 278,521.95 and 112,403.50

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Solution

The fourth proportional to 201,827.50, 278,521.95 and 112,403.50 is: 155,116.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,827.50 : 278,521.95 = 112,403.50 : x
  2. Step 2: Convert to fraction form
    201,827.50/278,521.95 = 112,403.50/x
  3. Step 3: Cross multiply
    201,827.50x = 278,521.95 × 112,403.50
  4. Step 4: Simplify right side
    201,827.50x = 31,306,842,006.83
  5. Step 5: Solve for x
    x = 31,306,842,006.83/201,827.50
  6. Step 6: Final answer
    x = 155,116.83

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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.