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Finding the Fourth Proportional to 205,607.16, 283,898.70 and 157,784.76

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Solution

The fourth proportional to 205,607.16, 283,898.70 and 157,784.76 is: 217,866.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,607.16 : 283,898.70 = 157,784.76 : x
  2. Step 2: Convert to fraction form
    205,607.16/283,898.70 = 157,784.76/x
  3. Step 3: Cross multiply
    205,607.16x = 283,898.70 × 157,784.76
  4. Step 4: Simplify right side
    205,607.16x = 44,794,888,243.81
  5. Step 5: Solve for x
    x = 44,794,888,243.81/205,607.16
  6. Step 6: Final answer
    x = 217,866.38

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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.