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Finding the Fourth Proportional to 227,365.64, 341,079.58 and 77,565.70

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Solution

The fourth proportional to 227,365.64, 341,079.58 and 77,565.70 is: 116,359.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,365.64 : 341,079.58 = 77,565.70 : x
  2. Step 2: Convert to fraction form
    227,365.64/341,079.58 = 77,565.70/x
  3. Step 3: Cross multiply
    227,365.64x = 341,079.58 × 77,565.70
  4. Step 4: Simplify right side
    227,365.64x = 26,456,075,990.58
  5. Step 5: Solve for x
    x = 26,456,075,990.58/227,365.64
  6. Step 6: Final answer
    x = 116,359.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.