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Finding the Fourth Proportional to 205,606.16, 283,897.32 and 157,783.76

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Solution

The fourth proportional to 205,606.16, 283,897.32 and 157,783.76 is: 217,865.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,606.16 : 283,897.32 = 157,783.76 : x
  2. Step 2: Convert to fraction form
    205,606.16/283,897.32 = 157,783.76/x
  3. Step 3: Cross multiply
    205,606.16x = 283,897.32 × 157,783.76
  4. Step 4: Simplify right side
    205,606.16x = 44,794,386,603.52
  5. Step 5: Solve for x
    x = 44,794,386,603.52/205,606.16
  6. Step 6: Final answer
    x = 217,865.00

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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.